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Finding the Fourth Proportional to 516,275.78, 712,331.72 and 309,576.61

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Solution

The fourth proportional to 516,275.78, 712,331.72 and 309,576.61 is: 427,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,275.78 : 712,331.72 = 309,576.61 : x
  2. Step 2: Convert to fraction form
    516,275.78/712,331.72 = 309,576.61/x
  3. Step 3: Cross multiply
    516,275.78x = 712,331.72 × 309,576.61
  4. Step 4: Simplify right side
    516,275.78x = 220,521,239,073.07
  5. Step 5: Solve for x
    x = 220,521,239,073.07/516,275.78
  6. Step 6: Final answer
    x = 427,138.46

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1.5x scale

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.