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Finding the Fourth Proportional to 516,775.44, 712,989.82 and 301,760.40

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Solution

The fourth proportional to 516,775.44, 712,989.82 and 301,760.40 is: 416,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,775.44 : 712,989.82 = 301,760.40 : x
  2. Step 2: Convert to fraction form
    516,775.44/712,989.82 = 301,760.40/x
  3. Step 3: Cross multiply
    516,775.44x = 712,989.82 × 301,760.40
  4. Step 4: Simplify right side
    516,775.44x = 215,152,088,959.78
  5. Step 5: Solve for x
    x = 215,152,088,959.78/516,775.44
  6. Step 6: Final answer
    x = 416,335.75

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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.