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Finding the Fourth Proportional to 499,475.64, 748,471.14 and 299,561.88

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Solution

The fourth proportional to 499,475.64, 748,471.14 and 299,561.88 is: 448,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,475.64 : 748,471.14 = 299,561.88 : x
  2. Step 2: Convert to fraction form
    499,475.64/748,471.14 = 299,561.88/x
  3. Step 3: Cross multiply
    499,475.64x = 748,471.14 × 299,561.88
  4. Step 4: Simplify right side
    499,475.64x = 224,213,421,824.14
  5. Step 5: Solve for x
    x = 224,213,421,824.14/499,475.64
  6. Step 6: Final answer
    x = 448,897.61

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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.