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Finding the Fourth Proportional to 442,320, 610,191.36 and 299,130.24

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Solution

The fourth proportional to 442,320, 610,191.36 and 299,130.24 is: 412,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,320 : 610,191.36 = 299,130.24 : x
  2. Step 2: Convert to fraction form
    442,320/610,191.36 = 299,130.24/x
  3. Step 3: Cross multiply
    442,320x = 610,191.36 × 299,130.24
  4. Step 4: Simplify right side
    442,320x = 182,526,687,962.73
  5. Step 5: Solve for x
    x = 182,526,687,962.73/442,320
  6. Step 6: Final answer
    x = 412,657.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.