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Finding the Fourth Proportional to 296,383.28, 409,008.89 and 160,417.20

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Solution

The fourth proportional to 296,383.28, 409,008.89 and 160,417.20 is: 221,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,383.28 : 409,008.89 = 160,417.20 : x
  2. Step 2: Convert to fraction form
    296,383.28/409,008.89 = 160,417.20/x
  3. Step 3: Cross multiply
    296,383.28x = 409,008.89 × 160,417.20
  4. Step 4: Simplify right side
    296,383.28x = 65,612,062,332.47
  5. Step 5: Solve for x
    x = 65,612,062,332.47/296,383.28
  6. Step 6: Final answer
    x = 221,375.72

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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.