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Finding the Fourth Proportional to 296,484.60, 409,149 and 160,518.66

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Solution

The fourth proportional to 296,484.60, 409,149 and 160,518.66 is: 221,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,484.60 : 409,149 = 160,518.66 : x
  2. Step 2: Convert to fraction form
    296,484.60/409,149 = 160,518.66/x
  3. Step 3: Cross multiply
    296,484.60x = 409,149 × 160,518.66
  4. Step 4: Simplify right side
    296,484.60x = 65,676,049,220.34
  5. Step 5: Solve for x
    x = 65,676,049,220.34/296,484.60
  6. Step 6: Final answer
    x = 221,515.89

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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.