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Finding the Fourth Proportional to 389,809.65, 584,665.20 and 123,572.78

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Solution

The fourth proportional to 389,809.65, 584,665.20 and 123,572.78 is: 185,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,809.65 : 584,665.20 = 123,572.78 : x
  2. Step 2: Convert to fraction form
    389,809.65/584,665.20 = 123,572.78/x
  3. Step 3: Cross multiply
    389,809.65x = 584,665.20 × 123,572.78
  4. Step 4: Simplify right side
    389,809.65x = 72,248,701,209.93
  5. Step 5: Solve for x
    x = 72,248,701,209.93/389,809.65
  6. Step 6: Final answer
    x = 185,343.54

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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.