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Finding the Fourth Proportional to 516,463.12, 772,316.48 and 491,268.88

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Solution

The fourth proportional to 516,463.12, 772,316.48 and 491,268.88 is: 734,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,463.12 : 772,316.48 = 491,268.88 : x
  2. Step 2: Convert to fraction form
    516,463.12/772,316.48 = 491,268.88/x
  3. Step 3: Cross multiply
    516,463.12x = 772,316.48 × 491,268.88
  4. Step 4: Simplify right side
    516,463.12x = 379,415,052,135.14
  5. Step 5: Solve for x
    x = 379,415,052,135.14/516,463.12
  6. Step 6: Final answer
    x = 734,641.13

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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.