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Finding the Fourth Proportional to 355,229.70, 532,385.24 and 265,781.40

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Solution

The fourth proportional to 355,229.70, 532,385.24 and 265,781.40 is: 398,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,229.70 : 532,385.24 = 265,781.40 : x
  2. Step 2: Convert to fraction form
    355,229.70/532,385.24 = 265,781.40/x
  3. Step 3: Cross multiply
    355,229.70x = 532,385.24 × 265,781.40
  4. Step 4: Simplify right side
    355,229.70x = 141,498,094,426.54
  5. Step 5: Solve for x
    x = 141,498,094,426.54/355,229.70
  6. Step 6: Final answer
    x = 398,328.45

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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.