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Finding the Fourth Proportional to 386,406.24, 532,624.50 and 304,601.10

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Solution

The fourth proportional to 386,406.24, 532,624.50 and 304,601.10 is: 419,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,406.24 : 532,624.50 = 304,601.10 : x
  2. Step 2: Convert to fraction form
    386,406.24/532,624.50 = 304,601.10/x
  3. Step 3: Cross multiply
    386,406.24x = 532,624.50 × 304,601.10
  4. Step 4: Simplify right side
    386,406.24x = 162,238,008,586.95
  5. Step 5: Solve for x
    x = 162,238,008,586.95/386,406.24
  6. Step 6: Final answer
    x = 419,863.84

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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.