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Finding the Fourth Proportional to 257,569.64, 355,651.62 and 172,759.40

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Solution

The fourth proportional to 257,569.64, 355,651.62 and 172,759.40 is: 238,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,569.64 : 355,651.62 = 172,759.40 : x
  2. Step 2: Convert to fraction form
    257,569.64/355,651.62 = 172,759.40/x
  3. Step 3: Cross multiply
    257,569.64x = 355,651.62 × 172,759.40
  4. Step 4: Simplify right side
    257,569.64x = 61,442,160,480.23
  5. Step 5: Solve for x
    x = 61,442,160,480.23/257,569.64
  6. Step 6: Final answer
    x = 238,545.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.