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Finding the Fourth Proportional to 442,148.85, 663,352.43 and 142,622.78

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Solution

The fourth proportional to 442,148.85, 663,352.43 and 142,622.78 is: 213,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,148.85 : 663,352.43 = 142,622.78 : x
  2. Step 2: Convert to fraction form
    442,148.85/663,352.43 = 142,622.78/x
  3. Step 3: Cross multiply
    442,148.85x = 663,352.43 × 142,622.78
  4. Step 4: Simplify right side
    442,148.85x = 94,609,163,656.48
  5. Step 5: Solve for x
    x = 94,609,163,656.48/442,148.85
  6. Step 6: Final answer
    x = 213,975.82

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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.