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Finding the Fourth Proportional to 432,840.30, 649,260.45 and 266,721.90

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Solution

The fourth proportional to 432,840.30, 649,260.45 and 266,721.90 is: 400,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,840.30 : 649,260.45 = 266,721.90 : x
  2. Step 2: Convert to fraction form
    432,840.30/649,260.45 = 266,721.90/x
  3. Step 3: Cross multiply
    432,840.30x = 649,260.45 × 266,721.90
  4. Step 4: Simplify right side
    432,840.30x = 173,171,980,818.86
  5. Step 5: Solve for x
    x = 173,171,980,818.86/432,840.30
  6. Step 6: Final answer
    x = 400,082.85

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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.