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Finding the Fourth Proportional to 432,334.40, 649,279.20 and 314,139.20

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Solution

The fourth proportional to 432,334.40, 649,279.20 and 314,139.20 is: 471,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,334.40 : 649,279.20 = 314,139.20 : x
  2. Step 2: Convert to fraction form
    432,334.40/649,279.20 = 314,139.20/x
  3. Step 3: Cross multiply
    432,334.40x = 649,279.20 × 314,139.20
  4. Step 4: Simplify right side
    432,334.40x = 203,964,048,464.64
  5. Step 5: Solve for x
    x = 203,964,048,464.64/432,334.40
  6. Step 6: Final answer
    x = 471,773.81

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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.