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Finding the Fourth Proportional to 471,728.57, 650,985.62 and 256,868.55

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Solution

The fourth proportional to 471,728.57, 650,985.62 and 256,868.55 is: 354,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,728.57 : 650,985.62 = 256,868.55 : x
  2. Step 2: Convert to fraction form
    471,728.57/650,985.62 = 256,868.55/x
  3. Step 3: Cross multiply
    471,728.57x = 650,985.62 × 256,868.55
  4. Step 4: Simplify right side
    471,728.57x = 167,217,730,995.91
  5. Step 5: Solve for x
    x = 167,217,730,995.91/471,728.57
  6. Step 6: Final answer
    x = 354,478.71

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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.