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Finding the Fourth Proportional to 375,152.87, 517,723.59 and 205,390.55

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Solution

The fourth proportional to 375,152.87, 517,723.59 and 205,390.55 is: 283,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,152.87 : 517,723.59 = 205,390.55 : x
  2. Step 2: Convert to fraction form
    375,152.87/517,723.59 = 205,390.55/x
  3. Step 3: Cross multiply
    375,152.87x = 517,723.59 × 205,390.55
  4. Step 4: Simplify right side
    375,152.87x = 106,335,530,309.46
  5. Step 5: Solve for x
    x = 106,335,530,309.46/375,152.87
  6. Step 6: Final answer
    x = 283,445.87

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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.