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Finding the Fourth Proportional to 384,641.10, 576,838.53 and 128,418.66

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Solution

The fourth proportional to 384,641.10, 576,838.53 and 128,418.66 is: 192,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,641.10 : 576,838.53 = 128,418.66 : x
  2. Step 2: Convert to fraction form
    384,641.10/576,838.53 = 128,418.66/x
  3. Step 3: Cross multiply
    384,641.10x = 576,838.53 × 128,418.66
  4. Step 4: Simplify right side
    384,641.10x = 74,076,831,058.97
  5. Step 5: Solve for x
    x = 74,076,831,058.97/384,641.10
  6. Step 6: Final answer
    x = 192,586.88

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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.