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Finding the Fourth Proportional to 342,069.60, 513,718.80 and 331,010.40

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Solution

The fourth proportional to 342,069.60, 513,718.80 and 331,010.40 is: 497,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,069.60 : 513,718.80 = 331,010.40 : x
  2. Step 2: Convert to fraction form
    342,069.60/513,718.80 = 331,010.40/x
  3. Step 3: Cross multiply
    342,069.60x = 513,718.80 × 331,010.40
  4. Step 4: Simplify right side
    342,069.60x = 170,046,265,475.52
  5. Step 5: Solve for x
    x = 170,046,265,475.52/342,069.60
  6. Step 6: Final answer
    x = 497,110.14

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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.