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Finding the Fourth Proportional to 385,253.72, 577,399.26 and 185,537

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Solution

The fourth proportional to 385,253.72, 577,399.26 and 185,537 is: 278,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,253.72 : 577,399.26 = 185,537 : x
  2. Step 2: Convert to fraction form
    385,253.72/577,399.26 = 185,537/x
  3. Step 3: Cross multiply
    385,253.72x = 577,399.26 × 185,537
  4. Step 4: Simplify right side
    385,253.72x = 107,128,926,502.62
  5. Step 5: Solve for x
    x = 107,128,926,502.62/385,253.72
  6. Step 6: Final answer
    x = 278,073.70

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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.