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Finding the Fourth Proportional to 490,442, 731,371.18 and 485,957.84

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Solution

The fourth proportional to 490,442, 731,371.18 and 485,957.84 is: 724,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,442 : 731,371.18 = 485,957.84 : x
  2. Step 2: Convert to fraction form
    490,442/731,371.18 = 485,957.84/x
  3. Step 3: Cross multiply
    490,442x = 731,371.18 × 485,957.84
  4. Step 4: Simplify right side
    490,442x = 355,415,558,871.05
  5. Step 5: Solve for x
    x = 355,415,558,871.05/490,442
  6. Step 6: Final answer
    x = 724,684.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.