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Finding the Fourth Proportional to 384,781.20, 577,463.40 and 251,617.20

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Solution

The fourth proportional to 384,781.20, 577,463.40 and 251,617.20 is: 377,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,781.20 : 577,463.40 = 251,617.20 : x
  2. Step 2: Convert to fraction form
    384,781.20/577,463.40 = 251,617.20/x
  3. Step 3: Cross multiply
    384,781.20x = 577,463.40 × 251,617.20
  4. Step 4: Simplify right side
    384,781.20x = 145,299,723,810.48
  5. Step 5: Solve for x
    x = 145,299,723,810.48/384,781.20
  6. Step 6: Final answer
    x = 377,616.48

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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.