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Finding the Fourth Proportional to 312,082.41, 431,114.63 and 248,338.65

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Solution

The fourth proportional to 312,082.41, 431,114.63 and 248,338.65 is: 343,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,082.41 : 431,114.63 = 248,338.65 : x
  2. Step 2: Convert to fraction form
    312,082.41/431,114.63 = 248,338.65/x
  3. Step 3: Cross multiply
    312,082.41x = 431,114.63 × 248,338.65
  4. Step 4: Simplify right side
    312,082.41x = 107,062,423,967.76
  5. Step 5: Solve for x
    x = 107,062,423,967.76/312,082.41
  6. Step 6: Final answer
    x = 343,058.18

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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.