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Finding the Fourth Proportional to 296,456.76, 409,108.45 and 160,489.72

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Solution

The fourth proportional to 296,456.76, 409,108.45 and 160,489.72 is: 221,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,456.76 : 409,108.45 = 160,489.72 : x
  2. Step 2: Convert to fraction form
    296,456.76/409,108.45 = 160,489.72/x
  3. Step 3: Cross multiply
    296,456.76x = 409,108.45 × 160,489.72
  4. Step 4: Simplify right side
    296,456.76x = 65,657,698,945.82
  5. Step 5: Solve for x
    x = 65,657,698,945.82/296,456.76
  6. Step 6: Final answer
    x = 221,474.79

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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.