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Finding the Fourth Proportional to 257,414.72, 354,838.52 and 180,718.65

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Solution

The fourth proportional to 257,414.72, 354,838.52 and 180,718.65 is: 249,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,414.72 : 354,838.52 = 180,718.65 : x
  2. Step 2: Convert to fraction form
    257,414.72/354,838.52 = 180,718.65/x
  3. Step 3: Cross multiply
    257,414.72x = 354,838.52 × 180,718.65
  4. Step 4: Simplify right side
    257,414.72x = 64,125,937,398.80
  5. Step 5: Solve for x
    x = 64,125,937,398.80/257,414.72
  6. Step 6: Final answer
    x = 249,115.27

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1.5x scale

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.