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Finding the Fourth Proportional to 342,290.43, 513,421.35 and 89,565.32

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Solution

The fourth proportional to 342,290.43, 513,421.35 and 89,565.32 is: 134,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,290.43 : 513,421.35 = 89,565.32 : x
  2. Step 2: Convert to fraction form
    342,290.43/513,421.35 = 89,565.32/x
  3. Step 3: Cross multiply
    342,290.43x = 513,421.35 × 89,565.32
  4. Step 4: Simplify right side
    342,290.43x = 45,984,744,940.48
  5. Step 5: Solve for x
    x = 45,984,744,940.48/342,290.43
  6. Step 6: Final answer
    x = 134,344.23

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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.