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Finding the Fourth Proportional to 516,387.96, 712,818.54 and 325,365.84

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Solution

The fourth proportional to 516,387.96, 712,818.54 and 325,365.84 is: 449,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,387.96 : 712,818.54 = 325,365.84 : x
  2. Step 2: Convert to fraction form
    516,387.96/712,818.54 = 325,365.84/x
  3. Step 3: Cross multiply
    516,387.96x = 712,818.54 × 325,365.84
  4. Step 4: Simplify right side
    516,387.96x = 231,926,803,034.67
  5. Step 5: Solve for x
    x = 231,926,803,034.67/516,387.96
  6. Step 6: Final answer
    x = 449,132.86

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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.