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Finding the Fourth Proportional to 456,470.70, 685,124.55 and 231,987.30

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Solution

The fourth proportional to 456,470.70, 685,124.55 and 231,987.30 is: 348,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,470.70 : 685,124.55 = 231,987.30 : x
  2. Step 2: Convert to fraction form
    456,470.70/685,124.55 = 231,987.30/x
  3. Step 3: Cross multiply
    456,470.70x = 685,124.55 × 231,987.30
  4. Step 4: Simplify right side
    456,470.70x = 158,940,194,518.22
  5. Step 5: Solve for x
    x = 158,940,194,518.22/456,470.70
  6. Step 6: Final answer
    x = 348,193.64

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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.