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Finding the Fourth Proportional to 456,710.40, 685,065.60 and 438,339.60

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Solution

The fourth proportional to 456,710.40, 685,065.60 and 438,339.60 is: 657,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,710.40 : 685,065.60 = 438,339.60 : x
  2. Step 2: Convert to fraction form
    456,710.40/685,065.60 = 438,339.60/x
  3. Step 3: Cross multiply
    456,710.40x = 685,065.60 × 438,339.60
  4. Step 4: Simplify right side
    456,710.40x = 300,291,381,077.76
  5. Step 5: Solve for x
    x = 300,291,381,077.76/456,710.40
  6. Step 6: Final answer
    x = 657,509.40

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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.