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Finding the Fourth Proportional to 498,957.28, 689,289.60 and 431,772.64

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Solution

The fourth proportional to 498,957.28, 689,289.60 and 431,772.64 is: 596,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,957.28 : 689,289.60 = 431,772.64 : x
  2. Step 2: Convert to fraction form
    498,957.28/689,289.60 = 431,772.64/x
  3. Step 3: Cross multiply
    498,957.28x = 689,289.60 × 431,772.64
  4. Step 4: Simplify right side
    498,957.28x = 297,616,390,316.54
  5. Step 5: Solve for x
    x = 297,616,390,316.54/498,957.28
  6. Step 6: Final answer
    x = 596,476.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.