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Finding the Fourth Proportional to 442,031.90, 662,267.05 and 427,414.30

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Solution

The fourth proportional to 442,031.90, 662,267.05 and 427,414.30 is: 640,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,031.90 : 662,267.05 = 427,414.30 : x
  2. Step 2: Convert to fraction form
    442,031.90/662,267.05 = 427,414.30/x
  3. Step 3: Cross multiply
    442,031.90x = 662,267.05 × 427,414.30
  4. Step 4: Simplify right side
    442,031.90x = 283,062,407,588.82
  5. Step 5: Solve for x
    x = 283,062,407,588.82/442,031.90
  6. Step 6: Final answer
    x = 640,366.47

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1.5x scale

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.