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Finding the Fourth Proportional to 704,213.68, 971,939.12 and 417,891.64

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Solution

The fourth proportional to 704,213.68, 971,939.12 and 417,891.64 is: 576,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,213.68 : 971,939.12 = 417,891.64 : x
  2. Step 2: Convert to fraction form
    704,213.68/971,939.12 = 417,891.64/x
  3. Step 3: Cross multiply
    704,213.68x = 971,939.12 × 417,891.64
  4. Step 4: Simplify right side
    704,213.68x = 406,165,232,836.96
  5. Step 5: Solve for x
    x = 406,165,232,836.96/704,213.68
  6. Step 6: Final answer
    x = 576,764.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.