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Finding the Fourth Proportional to 345,306.08, 517,960.13 and 120,666.56

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Solution

The fourth proportional to 345,306.08, 517,960.13 and 120,666.56 is: 181,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,306.08 : 517,960.13 = 120,666.56 : x
  2. Step 2: Convert to fraction form
    345,306.08/517,960.13 = 120,666.56/x
  3. Step 3: Cross multiply
    345,306.08x = 517,960.13 × 120,666.56
  4. Step 4: Simplify right side
    345,306.08x = 62,500,464,816.12
  5. Step 5: Solve for x
    x = 62,500,464,816.12/345,306.08
  6. Step 6: Final answer
    x = 181,000.19

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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.