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Finding the Fourth Proportional to 408,047.70, 612,071.55 and 275,337.30

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Solution

The fourth proportional to 408,047.70, 612,071.55 and 275,337.30 is: 413,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.70 : 612,071.55 = 275,337.30 : x
  2. Step 2: Convert to fraction form
    408,047.70/612,071.55 = 275,337.30/x
  3. Step 3: Cross multiply
    408,047.70x = 612,071.55 × 275,337.30
  4. Step 4: Simplify right side
    408,047.70x = 168,526,127,983.82
  5. Step 5: Solve for x
    x = 168,526,127,983.82/408,047.70
  6. Step 6: Final answer
    x = 413,005.95

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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.