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Finding the Fourth Proportional to 296,387.02, 409,014.05 and 160,420.93

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Solution

The fourth proportional to 296,387.02, 409,014.05 and 160,420.93 is: 221,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,387.02 : 409,014.05 = 160,420.93 : x
  2. Step 2: Convert to fraction form
    296,387.02/409,014.05 = 160,420.93/x
  3. Step 3: Cross multiply
    296,387.02x = 409,014.05 × 160,420.93
  4. Step 4: Simplify right side
    296,387.02x = 65,614,413,481.96
  5. Step 5: Solve for x
    x = 65,614,413,481.96/296,387.02
  6. Step 6: Final answer
    x = 221,380.86

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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.