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Finding the Fourth Proportional to 486,098.32, 729,145.32 and 131,148.40

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Solution

The fourth proportional to 486,098.32, 729,145.32 and 131,148.40 is: 196,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,098.32 : 729,145.32 = 131,148.40 : x
  2. Step 2: Convert to fraction form
    486,098.32/729,145.32 = 131,148.40/x
  3. Step 3: Cross multiply
    486,098.32x = 729,145.32 × 131,148.40
  4. Step 4: Simplify right side
    486,098.32x = 95,626,242,085.49
  5. Step 5: Solve for x
    x = 95,626,242,085.49/486,098.32
  6. Step 6: Final answer
    x = 196,722.02

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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.