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Finding the Fourth Proportional to 392,464.80, 588,409.20 and 155,690.40

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Solution

The fourth proportional to 392,464.80, 588,409.20 and 155,690.40 is: 233,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,464.80 : 588,409.20 = 155,690.40 : x
  2. Step 2: Convert to fraction form
    392,464.80/588,409.20 = 155,690.40/x
  3. Step 3: Cross multiply
    392,464.80x = 588,409.20 × 155,690.40
  4. Step 4: Simplify right side
    392,464.80x = 91,609,663,711.68
  5. Step 5: Solve for x
    x = 91,609,663,711.68/392,464.80
  6. Step 6: Final answer
    x = 233,421.35

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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.