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Finding the Fourth Proportional to 497,521.98, 686,678.31 and 346,531.50

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Solution

The fourth proportional to 497,521.98, 686,678.31 and 346,531.50 is: 478,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,521.98 : 686,678.31 = 346,531.50 : x
  2. Step 2: Convert to fraction form
    497,521.98/686,678.31 = 346,531.50/x
  3. Step 3: Cross multiply
    497,521.98x = 686,678.31 × 346,531.50
  4. Step 4: Simplify right side
    497,521.98x = 237,955,664,781.77
  5. Step 5: Solve for x
    x = 237,955,664,781.77/497,521.98
  6. Step 6: Final answer
    x = 478,281.71

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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.