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Finding the Fourth Proportional to 342,861.60, 513,417.60 and 272,877.60

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Solution

The fourth proportional to 342,861.60, 513,417.60 and 272,877.60 is: 408,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,861.60 : 513,417.60 = 272,877.60 : x
  2. Step 2: Convert to fraction form
    342,861.60/513,417.60 = 272,877.60/x
  3. Step 3: Cross multiply
    342,861.60x = 513,417.60 × 272,877.60
  4. Step 4: Simplify right side
    342,861.60x = 140,100,162,485.76
  5. Step 5: Solve for x
    x = 140,100,162,485.76/342,861.60
  6. Step 6: Final answer
    x = 408,620.16

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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.