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Finding the Fourth Proportional to 347,123.71, 520,892.49 and 154,983.22

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Solution

The fourth proportional to 347,123.71, 520,892.49 and 154,983.22 is: 232,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,123.71 : 520,892.49 = 154,983.22 : x
  2. Step 2: Convert to fraction form
    347,123.71/520,892.49 = 154,983.22/x
  3. Step 3: Cross multiply
    347,123.71x = 520,892.49 × 154,983.22
  4. Step 4: Simplify right side
    347,123.71x = 80,729,595,374.02
  5. Step 5: Solve for x
    x = 80,729,595,374.02/347,123.71
  6. Step 6: Final answer
    x = 232,567.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.