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Finding the Fourth Proportional to 288,301.71, 397,857.06 and 160,981.86

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Solution

The fourth proportional to 288,301.71, 397,857.06 and 160,981.86 is: 222,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,301.71 : 397,857.06 = 160,981.86 : x
  2. Step 2: Convert to fraction form
    288,301.71/397,857.06 = 160,981.86/x
  3. Step 3: Cross multiply
    288,301.71x = 397,857.06 × 160,981.86
  4. Step 4: Simplify right side
    288,301.71x = 64,047,769,532.93
  5. Step 5: Solve for x
    x = 64,047,769,532.93/288,301.71
  6. Step 6: Final answer
    x = 222,155.36

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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.