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Finding the Fourth Proportional to 467,943, 645,761.70 and 253,082.79

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Solution

The fourth proportional to 467,943, 645,761.70 and 253,082.79 is: 349,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,943 : 645,761.70 = 253,082.79 : x
  2. Step 2: Convert to fraction form
    467,943/645,761.70 = 253,082.79/x
  3. Step 3: Cross multiply
    467,943x = 645,761.70 × 253,082.79
  4. Step 4: Simplify right side
    467,943x = 163,431,172,711.14
  5. Step 5: Solve for x
    x = 163,431,172,711.14/467,943
  6. Step 6: Final answer
    x = 349,254.44

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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.