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Finding the Fourth Proportional to 342,854.20, 514,281.30 and 121,238.20

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Solution

The fourth proportional to 342,854.20, 514,281.30 and 121,238.20 is: 181,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,854.20 : 514,281.30 = 121,238.20 : x
  2. Step 2: Convert to fraction form
    342,854.20/514,281.30 = 121,238.20/x
  3. Step 3: Cross multiply
    342,854.20x = 514,281.30 × 121,238.20
  4. Step 4: Simplify right side
    342,854.20x = 62,350,539,105.66
  5. Step 5: Solve for x
    x = 62,350,539,105.66/342,854.20
  6. Step 6: Final answer
    x = 181,857.30

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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.