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Finding the Fourth Proportional to 283,356.91, 391,018.50 and 156,008.71

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Solution

The fourth proportional to 283,356.91, 391,018.50 and 156,008.71 is: 215,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,356.91 : 391,018.50 = 156,008.71 : x
  2. Step 2: Convert to fraction form
    283,356.91/391,018.50 = 156,008.71/x
  3. Step 3: Cross multiply
    283,356.91x = 391,018.50 × 156,008.71
  4. Step 4: Simplify right side
    283,356.91x = 61,002,291,771.14
  5. Step 5: Solve for x
    x = 61,002,291,771.14/283,356.91
  6. Step 6: Final answer
    x = 215,284.29

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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.