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Finding the Fourth Proportional to 456,714.30, 685,071.45 and 438,051.90

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Solution

The fourth proportional to 456,714.30, 685,071.45 and 438,051.90 is: 657,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,714.30 : 685,071.45 = 438,051.90 : x
  2. Step 2: Convert to fraction form
    456,714.30/685,071.45 = 438,051.90/x
  3. Step 3: Cross multiply
    456,714.30x = 685,071.45 × 438,051.90
  4. Step 4: Simplify right side
    456,714.30x = 300,096,850,308.26
  5. Step 5: Solve for x
    x = 300,096,850,308.26/456,714.30
  6. Step 6: Final answer
    x = 657,077.85

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.