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Finding the Fourth Proportional to 288,562.84, 398,209.08 and 161,239.48

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Solution

The fourth proportional to 288,562.84, 398,209.08 and 161,239.48 is: 222,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,562.84 : 398,209.08 = 161,239.48 : x
  2. Step 2: Convert to fraction form
    288,562.84/398,209.08 = 161,239.48/x
  3. Step 3: Cross multiply
    288,562.84x = 398,209.08 × 161,239.48
  4. Step 4: Simplify right side
    288,562.84x = 64,207,024,990.48
  5. Step 5: Solve for x
    x = 64,207,024,990.48/288,562.84
  6. Step 6: Final answer
    x = 222,506.21

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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.