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Finding the Fourth Proportional to 578,728.55, 869,423.25 and 408,342.42

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Solution

The fourth proportional to 578,728.55, 869,423.25 and 408,342.42 is: 613,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,728.55 : 869,423.25 = 408,342.42 : x
  2. Step 2: Convert to fraction form
    578,728.55/869,423.25 = 408,342.42/x
  3. Step 3: Cross multiply
    578,728.55x = 869,423.25 × 408,342.42
  4. Step 4: Simplify right side
    578,728.55x = 355,022,393,909.27
  5. Step 5: Solve for x
    x = 355,022,393,909.27/578,728.55
  6. Step 6: Final answer
    x = 613,452.36

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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.