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Finding the Fourth Proportional to 399,152.40, 598,528.80 and 132,820.08

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Solution

The fourth proportional to 399,152.40, 598,528.80 and 132,820.08 is: 199,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,152.40 : 598,528.80 = 132,820.08 : x
  2. Step 2: Convert to fraction form
    399,152.40/598,528.80 = 132,820.08/x
  3. Step 3: Cross multiply
    399,152.40x = 598,528.80 × 132,820.08
  4. Step 4: Simplify right side
    399,152.40x = 79,496,643,098.30
  5. Step 5: Solve for x
    x = 79,496,643,098.30/399,152.40
  6. Step 6: Final answer
    x = 199,163.64

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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.