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Finding the Fourth Proportional to 356,211.20, 534,514.80 and 145,834.40

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Solution

The fourth proportional to 356,211.20, 534,514.80 and 145,834.40 is: 218,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,211.20 : 534,514.80 = 145,834.40 : x
  2. Step 2: Convert to fraction form
    356,211.20/534,514.80 = 145,834.40/x
  3. Step 3: Cross multiply
    356,211.20x = 534,514.80 × 145,834.40
  4. Step 4: Simplify right side
    356,211.20x = 77,950,645,149.12
  5. Step 5: Solve for x
    x = 77,950,645,149.12/356,211.20
  6. Step 6: Final answer
    x = 218,832.66

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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.