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Finding the Fourth Proportional to 498,336, 687,655.26 and 283,433.28

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Solution

The fourth proportional to 498,336, 687,655.26 and 283,433.28 is: 391,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,336 : 687,655.26 = 283,433.28 : x
  2. Step 2: Convert to fraction form
    498,336/687,655.26 = 283,433.28/x
  3. Step 3: Cross multiply
    498,336x = 687,655.26 × 283,433.28
  4. Step 4: Simplify right side
    498,336x = 194,904,385,851.05
  5. Step 5: Solve for x
    x = 194,904,385,851.05/498,336
  6. Step 6: Final answer
    x = 391,110.39

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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.