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Finding the Fourth Proportional to 498,006.57, 687,240.95 and 283,142.03

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Solution

The fourth proportional to 498,006.57, 687,240.95 and 283,142.03 is: 390,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,006.57 : 687,240.95 = 283,142.03 : x
  2. Step 2: Convert to fraction form
    498,006.57/687,240.95 = 283,142.03/x
  3. Step 3: Cross multiply
    498,006.57x = 687,240.95 × 283,142.03
  4. Step 4: Simplify right side
    498,006.57x = 194,586,792,830.21
  5. Step 5: Solve for x
    x = 194,586,792,830.21/498,006.57
  6. Step 6: Final answer
    x = 390,731.38

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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.