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Finding the Fourth Proportional to 253,574.46, 349,943.67 and 140,397.21

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Solution

The fourth proportional to 253,574.46, 349,943.67 and 140,397.21 is: 193,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,574.46 : 349,943.67 = 140,397.21 : x
  2. Step 2: Convert to fraction form
    253,574.46/349,943.67 = 140,397.21/x
  3. Step 3: Cross multiply
    253,574.46x = 349,943.67 × 140,397.21
  4. Step 4: Simplify right side
    253,574.46x = 49,131,114,925.16
  5. Step 5: Solve for x
    x = 49,131,114,925.16/253,574.46
  6. Step 6: Final answer
    x = 193,754.19

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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.