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Finding the Fourth Proportional to 442,195.97, 610,041.33 and 288,968.20

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Solution

The fourth proportional to 442,195.97, 610,041.33 and 288,968.20 is: 398,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,195.97 : 610,041.33 = 288,968.20 : x
  2. Step 2: Convert to fraction form
    442,195.97/610,041.33 = 288,968.20/x
  3. Step 3: Cross multiply
    442,195.97x = 610,041.33 × 288,968.20
  4. Step 4: Simplify right side
    442,195.97x = 176,282,543,530.60
  5. Step 5: Solve for x
    x = 176,282,543,530.60/442,195.97
  6. Step 6: Final answer
    x = 398,652.54

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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.