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Finding the Fourth Proportional to 475,278.20, 712,917.30 and 142,854.20

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Solution

The fourth proportional to 475,278.20, 712,917.30 and 142,854.20 is: 214,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,278.20 : 712,917.30 = 142,854.20 : x
  2. Step 2: Convert to fraction form
    475,278.20/712,917.30 = 142,854.20/x
  3. Step 3: Cross multiply
    475,278.20x = 712,917.30 × 142,854.20
  4. Step 4: Simplify right side
    475,278.20x = 101,843,230,557.66
  5. Step 5: Solve for x
    x = 101,843,230,557.66/475,278.20
  6. Step 6: Final answer
    x = 214,281.30

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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.