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Finding the Fourth Proportional to 342,407.20, 513,610.80 and 89,687.20

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Solution

The fourth proportional to 342,407.20, 513,610.80 and 89,687.20 is: 134,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,407.20 : 513,610.80 = 89,687.20 : x
  2. Step 2: Convert to fraction form
    342,407.20/513,610.80 = 89,687.20/x
  3. Step 3: Cross multiply
    342,407.20x = 513,610.80 × 89,687.20
  4. Step 4: Simplify right side
    342,407.20x = 46,064,314,541.76
  5. Step 5: Solve for x
    x = 46,064,314,541.76/342,407.20
  6. Step 6: Final answer
    x = 134,530.80

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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.