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Finding the Fourth Proportional to 385,252.72, 577,397.76 and 185,536

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Solution

The fourth proportional to 385,252.72, 577,397.76 and 185,536 is: 278,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,252.72 : 577,397.76 = 185,536 : x
  2. Step 2: Convert to fraction form
    385,252.72/577,397.76 = 185,536/x
  3. Step 3: Cross multiply
    385,252.72x = 577,397.76 × 185,536
  4. Step 4: Simplify right side
    385,252.72x = 107,128,070,799.36
  5. Step 5: Solve for x
    x = 107,128,070,799.36/385,252.72
  6. Step 6: Final answer
    x = 278,072.20

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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.