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Finding the Fourth Proportional to 296,778.10, 409,549.56 and 160,808.86

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Solution

The fourth proportional to 296,778.10, 409,549.56 and 160,808.86 is: 221,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,778.10 : 409,549.56 = 160,808.86 : x
  2. Step 2: Convert to fraction form
    296,778.10/409,549.56 = 160,808.86/x
  3. Step 3: Cross multiply
    296,778.10x = 409,549.56 × 160,808.86
  4. Step 4: Simplify right side
    296,778.10x = 65,859,197,857.10
  5. Step 5: Solve for x
    x = 65,859,197,857.10/296,778.10
  6. Step 6: Final answer
    x = 221,913.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.