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Finding the Fourth Proportional to 631,332, 871,233 and 344,852.16

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Solution

The fourth proportional to 631,332, 871,233 and 344,852.16 is: 475,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,332 : 871,233 = 344,852.16 : x
  2. Step 2: Convert to fraction form
    631,332/871,233 = 344,852.16/x
  3. Step 3: Cross multiply
    631,332x = 871,233 × 344,852.16
  4. Step 4: Simplify right side
    631,332x = 300,446,581,913.28
  5. Step 5: Solve for x
    x = 300,446,581,913.28/631,332
  6. Step 6: Final answer
    x = 475,893.16

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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.