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Finding the Fourth Proportional to 355,937.52, 491,298.84 and 205,140.72

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Solution

The fourth proportional to 355,937.52, 491,298.84 and 205,140.72 is: 283,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,937.52 : 491,298.84 = 205,140.72 : x
  2. Step 2: Convert to fraction form
    355,937.52/491,298.84 = 205,140.72/x
  3. Step 3: Cross multiply
    355,937.52x = 491,298.84 × 205,140.72
  4. Step 4: Simplify right side
    355,937.52x = 100,785,397,772.77
  5. Step 5: Solve for x
    x = 100,785,397,772.77/355,937.52
  6. Step 6: Final answer
    x = 283,154.75

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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.