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Finding the Fourth Proportional to 283,463, 391,178.94 and 156,138.20

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Solution

The fourth proportional to 283,463, 391,178.94 and 156,138.20 is: 215,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,463 : 391,178.94 = 156,138.20 : x
  2. Step 2: Convert to fraction form
    283,463/391,178.94 = 156,138.20/x
  3. Step 3: Cross multiply
    283,463x = 391,178.94 × 156,138.20
  4. Step 4: Simplify right side
    283,463x = 61,077,975,569.51
  5. Step 5: Solve for x
    x = 61,077,975,569.51/283,463
  6. Step 6: Final answer
    x = 215,470.72

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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.