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Finding the Fourth Proportional to 497,902.87, 687,102.82 and 283,042.95

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Solution

The fourth proportional to 497,902.87, 687,102.82 and 283,042.95 is: 390,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,902.87 : 687,102.82 = 283,042.95 : x
  2. Step 2: Convert to fraction form
    497,902.87/687,102.82 = 283,042.95/x
  3. Step 3: Cross multiply
    497,902.87x = 687,102.82 × 283,042.95
  4. Step 4: Simplify right side
    497,902.87x = 194,479,604,275.39
  5. Step 5: Solve for x
    x = 194,479,604,275.39/497,902.87
  6. Step 6: Final answer
    x = 390,597.48

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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.