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Finding the Fourth Proportional to 442,868.30, 664,302.45 and 402,778.70

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Solution

The fourth proportional to 442,868.30, 664,302.45 and 402,778.70 is: 604,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,868.30 : 664,302.45 = 402,778.70 : x
  2. Step 2: Convert to fraction form
    442,868.30/664,302.45 = 402,778.70/x
  3. Step 3: Cross multiply
    442,868.30x = 664,302.45 × 402,778.70
  4. Step 4: Simplify right side
    442,868.30x = 267,566,877,217.82
  5. Step 5: Solve for x
    x = 267,566,877,217.82/442,868.30
  6. Step 6: Final answer
    x = 604,168.05

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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.