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Finding the Fourth Proportional to 288,513, 398,140.61 and 161,189.55

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Solution

The fourth proportional to 288,513, 398,140.61 and 161,189.55 is: 222,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,513 : 398,140.61 = 161,189.55 : x
  2. Step 2: Convert to fraction form
    288,513/398,140.61 = 161,189.55/x
  3. Step 3: Cross multiply
    288,513x = 398,140.61 × 161,189.55
  4. Step 4: Simplify right side
    288,513x = 64,176,104,956.68
  5. Step 5: Solve for x
    x = 64,176,104,956.68/288,513
  6. Step 6: Final answer
    x = 222,437.48

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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.