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Finding the Fourth Proportional to 385,577.52, 578,222.64 and 132,787.68

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Solution

The fourth proportional to 385,577.52, 578,222.64 and 132,787.68 is: 199,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,577.52 : 578,222.64 = 132,787.68 : x
  2. Step 2: Convert to fraction form
    385,577.52/578,222.64 = 132,787.68/x
  3. Step 3: Cross multiply
    385,577.52x = 578,222.64 × 132,787.68
  4. Step 4: Simplify right side
    385,577.52x = 76,780,842,889.08
  5. Step 5: Solve for x
    x = 76,780,842,889.08/385,577.52
  6. Step 6: Final answer
    x = 199,132.05

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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.