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Finding the Fourth Proportional to 521,257.64, 718,964.65 and 478,375.64

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Solution

The fourth proportional to 521,257.64, 718,964.65 and 478,375.64 is: 659,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,257.64 : 718,964.65 = 478,375.64 : x
  2. Step 2: Convert to fraction form
    521,257.64/718,964.65 = 478,375.64/x
  3. Step 3: Cross multiply
    521,257.64x = 718,964.65 × 478,375.64
  4. Step 4: Simplify right side
    521,257.64x = 343,935,174,581.13
  5. Step 5: Solve for x
    x = 343,935,174,581.13/521,257.64
  6. Step 6: Final answer
    x = 659,818.00

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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.