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Finding the Fourth Proportional to 631,686.54, 871,727.84 and 345,206.66

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Solution

The fourth proportional to 631,686.54, 871,727.84 and 345,206.66 is: 476,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,686.54 : 871,727.84 = 345,206.66 : x
  2. Step 2: Convert to fraction form
    631,686.54/871,727.84 = 345,206.66/x
  3. Step 3: Cross multiply
    631,686.54x = 871,727.84 × 345,206.66
  4. Step 4: Simplify right side
    631,686.54x = 300,926,251,285.27
  5. Step 5: Solve for x
    x = 300,926,251,285.27/631,686.54
  6. Step 6: Final answer
    x = 476,385.41

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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.