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Finding the Fourth Proportional to 389,575.72, 584,396.96 and 136,834.24

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Solution

The fourth proportional to 389,575.72, 584,396.96 and 136,834.24 is: 205,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,575.72 : 584,396.96 = 136,834.24 : x
  2. Step 2: Convert to fraction form
    389,575.72/584,396.96 = 136,834.24/x
  3. Step 3: Cross multiply
    389,575.72x = 584,396.96 × 136,834.24
  4. Step 4: Simplify right side
    389,575.72x = 79,965,513,879.91
  5. Step 5: Solve for x
    x = 79,965,513,879.91/389,575.72
  6. Step 6: Final answer
    x = 205,263.08

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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.