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Finding the Fourth Proportional to 385,204.32, 577,702.80 and 135,853.92

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Solution

The fourth proportional to 385,204.32, 577,702.80 and 135,853.92 is: 203,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,204.32 : 577,702.80 = 135,853.92 : x
  2. Step 2: Convert to fraction form
    385,204.32/577,702.80 = 135,853.92/x
  3. Step 3: Cross multiply
    385,204.32x = 577,702.80 × 135,853.92
  4. Step 4: Simplify right side
    385,204.32x = 78,483,189,974.98
  5. Step 5: Solve for x
    x = 78,483,189,974.98/385,204.32
  6. Step 6: Final answer
    x = 203,744.31

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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.