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Finding the Fourth Proportional to 296,369, 408,985.92 and 160,399.88

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Solution

The fourth proportional to 296,369, 408,985.92 and 160,399.88 is: 221,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,369 : 408,985.92 = 160,399.88 : x
  2. Step 2: Convert to fraction form
    296,369/408,985.92 = 160,399.88/x
  3. Step 3: Cross multiply
    296,369x = 408,985.92 × 160,399.88
  4. Step 4: Simplify right side
    296,369x = 65,601,292,489.69
  5. Step 5: Solve for x
    x = 65,601,292,489.69/296,369
  6. Step 6: Final answer
    x = 221,350.05

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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.