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Finding the Fourth Proportional to 296,321.61, 408,923.81 and 160,355.55

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Solution

The fourth proportional to 296,321.61, 408,923.81 and 160,355.55 is: 221,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,321.61 : 408,923.81 = 160,355.55 : x
  2. Step 2: Convert to fraction form
    296,321.61/408,923.81 = 160,355.55/x
  3. Step 3: Cross multiply
    296,321.61x = 408,923.81 × 160,355.55
  4. Step 4: Simplify right side
    296,321.61x = 65,573,203,793.67
  5. Step 5: Solve for x
    x = 65,573,203,793.67/296,321.61
  6. Step 6: Final answer
    x = 221,290.65

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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.