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Finding the Fourth Proportional to 497,902.62, 687,102.47 and 283,042.70

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Solution

The fourth proportional to 497,902.62, 687,102.47 and 283,042.70 is: 390,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,902.62 : 687,102.47 = 283,042.70 : x
  2. Step 2: Convert to fraction form
    497,902.62/687,102.47 = 283,042.70/x
  3. Step 3: Cross multiply
    497,902.62x = 687,102.47 × 283,042.70
  4. Step 4: Simplify right side
    497,902.62x = 194,479,334,849.96
  5. Step 5: Solve for x
    x = 194,479,334,849.96/497,902.62
  6. Step 6: Final answer
    x = 390,597.13

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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.