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Finding the Fourth Proportional to 631,193.32, 871,051.62 and 344,708.20

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Solution

The fourth proportional to 631,193.32, 871,051.62 and 344,708.20 is: 475,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,193.32 : 871,051.62 = 344,708.20 : x
  2. Step 2: Convert to fraction form
    631,193.32/871,051.62 = 344,708.20/x
  3. Step 3: Cross multiply
    631,193.32x = 871,051.62 × 344,708.20
  4. Step 4: Simplify right side
    631,193.32x = 300,258,636,037.28
  5. Step 5: Solve for x
    x = 300,258,636,037.28/631,193.32
  6. Step 6: Final answer
    x = 475,699.96

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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.