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Finding the Fourth Proportional to 408,526.38, 612,789.84 and 128,065.50

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Solution

The fourth proportional to 408,526.38, 612,789.84 and 128,065.50 is: 192,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,526.38 : 612,789.84 = 128,065.50 : x
  2. Step 2: Convert to fraction form
    408,526.38/612,789.84 = 128,065.50/x
  3. Step 3: Cross multiply
    408,526.38x = 612,789.84 × 128,065.50
  4. Step 4: Simplify right side
    408,526.38x = 78,477,237,254.52
  5. Step 5: Solve for x
    x = 78,477,237,254.52/408,526.38
  6. Step 6: Final answer
    x = 192,098.33

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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.