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Finding the Fourth Proportional to 498,042.95, 687,331.71 and 283,203

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Solution

The fourth proportional to 498,042.95, 687,331.71 and 283,203 is: 390,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,042.95 : 687,331.71 = 283,203 : x
  2. Step 2: Convert to fraction form
    498,042.95/687,331.71 = 283,203/x
  3. Step 3: Cross multiply
    498,042.95x = 687,331.71 × 283,203
  4. Step 4: Simplify right side
    498,042.95x = 194,654,402,267.13
  5. Step 5: Solve for x
    x = 194,654,402,267.13/498,042.95
  6. Step 6: Final answer
    x = 390,838.59

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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.