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Finding the Fourth Proportional to 456,711.40, 685,067.10 and 438,340.60

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Solution

The fourth proportional to 456,711.40, 685,067.10 and 438,340.60 is: 657,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,711.40 : 685,067.10 = 438,340.60 : x
  2. Step 2: Convert to fraction form
    456,711.40/685,067.10 = 438,340.60/x
  3. Step 3: Cross multiply
    456,711.40x = 685,067.10 × 438,340.60
  4. Step 4: Simplify right side
    456,711.40x = 300,292,723,654.26
  5. Step 5: Solve for x
    x = 300,292,723,654.26/456,711.40
  6. Step 6: Final answer
    x = 657,510.90

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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.