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Finding the Fourth Proportional to 389,480.81, 584,402.05 and 149,514.87

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Solution

The fourth proportional to 389,480.81, 584,402.05 and 149,514.87 is: 224,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,480.81 : 584,402.05 = 149,514.87 : x
  2. Step 2: Convert to fraction form
    389,480.81/584,402.05 = 149,514.87/x
  3. Step 3: Cross multiply
    389,480.81x = 584,402.05 × 149,514.87
  4. Step 4: Simplify right side
    389,480.81x = 87,376,796,533.48
  5. Step 5: Solve for x
    x = 87,376,796,533.48/389,480.81
  6. Step 6: Final answer
    x = 224,341.72

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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.