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Finding the Fourth Proportional to 389,503.62, 584,331.17 and 149,599.97

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Solution

The fourth proportional to 389,503.62, 584,331.17 and 149,599.97 is: 224,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,503.62 : 584,331.17 = 149,599.97 : x
  2. Step 2: Convert to fraction form
    389,503.62/584,331.17 = 149,599.97/x
  3. Step 3: Cross multiply
    389,503.62x = 584,331.17 × 149,599.97
  4. Step 4: Simplify right side
    389,503.62x = 87,415,925,502.06
  5. Step 5: Solve for x
    x = 87,415,925,502.06/389,503.62
  6. Step 6: Final answer
    x = 224,429.05

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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.