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Finding the Fourth Proportional to 631,422.16, 871,348.32 and 344,943.52

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Solution

The fourth proportional to 631,422.16, 871,348.32 and 344,943.52 is: 476,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,422.16 : 871,348.32 = 344,943.52 : x
  2. Step 2: Convert to fraction form
    631,422.16/871,348.32 = 344,943.52/x
  3. Step 3: Cross multiply
    631,422.16x = 871,348.32 × 344,943.52
  4. Step 4: Simplify right side
    631,422.16x = 300,565,956,646.89
  5. Step 5: Solve for x
    x = 300,565,956,646.89/631,422.16
  6. Step 6: Final answer
    x = 476,014.27

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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.