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Finding the Fourth Proportional to 516,079.55, 712,148.96 and 286,614.65

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Solution

The fourth proportional to 516,079.55, 712,148.96 and 286,614.65 is: 395,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,079.55 : 712,148.96 = 286,614.65 : x
  2. Step 2: Convert to fraction form
    516,079.55/712,148.96 = 286,614.65/x
  3. Step 3: Cross multiply
    516,079.55x = 712,148.96 × 286,614.65
  4. Step 4: Simplify right side
    516,079.55x = 204,112,327,415.17
  5. Step 5: Solve for x
    x = 204,112,327,415.17/516,079.55
  6. Step 6: Final answer
    x = 395,505.55

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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.