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Finding the Fourth Proportional to 413,798.64, 620,620.23 and 129,446.61

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Solution

The fourth proportional to 413,798.64, 620,620.23 and 129,446.61 is: 194,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,798.64 : 620,620.23 = 129,446.61 : x
  2. Step 2: Convert to fraction form
    413,798.64/620,620.23 = 129,446.61/x
  3. Step 3: Cross multiply
    413,798.64x = 620,620.23 × 129,446.61
  4. Step 4: Simplify right side
    413,798.64x = 80,337,184,870.92
  5. Step 5: Solve for x
    x = 80,337,184,870.92/413,798.64
  6. Step 6: Final answer
    x = 194,145.60

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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.