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Finding the Fourth Proportional to 458,184.64, 687,000.84 and 205,419.37

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Solution

The fourth proportional to 458,184.64, 687,000.84 and 205,419.37 is: 308,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,184.64 : 687,000.84 = 205,419.37 : x
  2. Step 2: Convert to fraction form
    458,184.64/687,000.84 = 205,419.37/x
  3. Step 3: Cross multiply
    458,184.64x = 687,000.84 × 205,419.37
  4. Step 4: Simplify right side
    458,184.64x = 141,123,279,742.27
  5. Step 5: Solve for x
    x = 141,123,279,742.27/458,184.64
  6. Step 6: Final answer
    x = 308,005.26

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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.