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Finding the Fourth Proportional to 256,271.16, 353,560.50 and 160,743

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Solution

The fourth proportional to 256,271.16, 353,560.50 and 160,743 is: 221,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,271.16 : 353,560.50 = 160,743 : x
  2. Step 2: Convert to fraction form
    256,271.16/353,560.50 = 160,743/x
  3. Step 3: Cross multiply
    256,271.16x = 353,560.50 × 160,743
  4. Step 4: Simplify right side
    256,271.16x = 56,832,375,451.50
  5. Step 5: Solve for x
    x = 56,832,375,451.50/256,271.16
  6. Step 6: Final answer
    x = 221,766.57

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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.