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Finding the Fourth Proportional to 342,856.20, 514,284.30 and 292,117.80

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Solution

The fourth proportional to 342,856.20, 514,284.30 and 292,117.80 is: 438,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,856.20 : 514,284.30 = 292,117.80 : x
  2. Step 2: Convert to fraction form
    342,856.20/514,284.30 = 292,117.80/x
  3. Step 3: Cross multiply
    342,856.20x = 514,284.30 × 292,117.80
  4. Step 4: Simplify right side
    342,856.20x = 150,231,598,290.54
  5. Step 5: Solve for x
    x = 150,231,598,290.54/342,856.20
  6. Step 6: Final answer
    x = 438,176.70

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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.