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Finding the Fourth Proportional to 288,920.70, 398,708.28 and 161,596.20

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Solution

The fourth proportional to 288,920.70, 398,708.28 and 161,596.20 is: 223,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,920.70 : 398,708.28 = 161,596.20 : x
  2. Step 2: Convert to fraction form
    288,920.70/398,708.28 = 161,596.20/x
  3. Step 3: Cross multiply
    288,920.70x = 398,708.28 × 161,596.20
  4. Step 4: Simplify right side
    288,920.70x = 64,429,742,956.54
  5. Step 5: Solve for x
    x = 64,429,742,956.54/288,920.70
  6. Step 6: Final answer
    x = 223,001.48

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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.