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Finding the Fourth Proportional to 631,415.95, 871,385.12 and 359,489.23

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Solution

The fourth proportional to 631,415.95, 871,385.12 and 359,489.23 is: 496,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,415.95 : 871,385.12 = 359,489.23 : x
  2. Step 2: Convert to fraction form
    631,415.95/871,385.12 = 359,489.23/x
  3. Step 3: Cross multiply
    631,415.95x = 871,385.12 × 359,489.23
  4. Step 4: Simplify right side
    631,415.95x = 313,253,565,822.26
  5. Step 5: Solve for x
    x = 313,253,565,822.26/631,415.95
  6. Step 6: Final answer
    x = 496,112.85

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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.