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Finding the Fourth Proportional to 342,431.20, 513,646.80 and 89,711.20

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Solution

The fourth proportional to 342,431.20, 513,646.80 and 89,711.20 is: 134,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,431.20 : 513,646.80 = 89,711.20 : x
  2. Step 2: Convert to fraction form
    342,431.20/513,646.80 = 89,711.20/x
  3. Step 3: Cross multiply
    342,431.20x = 513,646.80 × 89,711.20
  4. Step 4: Simplify right side
    342,431.20x = 46,079,870,804.16
  5. Step 5: Solve for x
    x = 46,079,870,804.16/342,431.20
  6. Step 6: Final answer
    x = 134,566.80

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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.