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Finding the Fourth Proportional to 253,262.32, 349,571.10 and 157,712.56

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Solution

The fourth proportional to 253,262.32, 349,571.10 and 157,712.56 is: 217,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,262.32 : 349,571.10 = 157,712.56 : x
  2. Step 2: Convert to fraction form
    253,262.32/349,571.10 = 157,712.56/x
  3. Step 3: Cross multiply
    253,262.32x = 349,571.10 × 157,712.56
  4. Step 4: Simplify right side
    253,262.32x = 55,131,753,083.02
  5. Step 5: Solve for x
    x = 55,131,753,083.02/253,262.32
  6. Step 6: Final answer
    x = 217,686.36

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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.