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Finding the Fourth Proportional to 513,854.38, 770,855.07 and 158,895.77

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Solution

The fourth proportional to 513,854.38, 770,855.07 and 158,895.77 is: 238,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,854.38 : 770,855.07 = 158,895.77 : x
  2. Step 2: Convert to fraction form
    513,854.38/770,855.07 = 158,895.77/x
  3. Step 3: Cross multiply
    513,854.38x = 770,855.07 × 158,895.77
  4. Step 4: Simplify right side
    513,854.38x = 122,485,609,906.05
  5. Step 5: Solve for x
    x = 122,485,609,906.05/513,854.38
  6. Step 6: Final answer
    x = 238,366.39

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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.