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Finding the Fourth Proportional to 513,642.40, 770,545.68 and 158,572.96

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Solution

The fourth proportional to 513,642.40, 770,545.68 and 158,572.96 is: 237,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,642.40 : 770,545.68 = 158,572.96 : x
  2. Step 2: Convert to fraction form
    513,642.40/770,545.68 = 158,572.96/x
  3. Step 3: Cross multiply
    513,642.40x = 770,545.68 × 158,572.96
  4. Step 4: Simplify right side
    513,642.40x = 122,187,709,292.81
  5. Step 5: Solve for x
    x = 122,187,709,292.81/513,642.40
  6. Step 6: Final answer
    x = 237,884.78

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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.