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Finding the Fourth Proportional to 257,963.72, 387,461.25 and 155,585.70

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Solution

The fourth proportional to 257,963.72, 387,461.25 and 155,585.70 is: 233,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,963.72 : 387,461.25 = 155,585.70 : x
  2. Step 2: Convert to fraction form
    257,963.72/387,461.25 = 155,585.70/x
  3. Step 3: Cross multiply
    257,963.72x = 387,461.25 × 155,585.70
  4. Step 4: Simplify right side
    257,963.72x = 60,283,429,804.13
  5. Step 5: Solve for x
    x = 60,283,429,804.13/257,963.72
  6. Step 6: Final answer
    x = 233,689.57

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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.