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Finding the Fourth Proportional to 312,633.41, 431,275.50 and 197,718.48

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Solution

The fourth proportional to 312,633.41, 431,275.50 and 197,718.48 is: 272,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,633.41 : 431,275.50 = 197,718.48 : x
  2. Step 2: Convert to fraction form
    312,633.41/431,275.50 = 197,718.48/x
  3. Step 3: Cross multiply
    312,633.41x = 431,275.50 × 197,718.48
  4. Step 4: Simplify right side
    312,633.41x = 85,271,136,321.24
  5. Step 5: Solve for x
    x = 85,271,136,321.24/312,633.41
  6. Step 6: Final answer
    x = 272,751.20

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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.