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Finding the Fourth Proportional to 354,420, 531,557.44 and 101,632.76

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Solution

The fourth proportional to 354,420, 531,557.44 and 101,632.76 is: 152,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,420 : 531,557.44 = 101,632.76 : x
  2. Step 2: Convert to fraction form
    354,420/531,557.44 = 101,632.76/x
  3. Step 3: Cross multiply
    354,420x = 531,557.44 × 101,632.76
  4. Step 4: Simplify right side
    354,420x = 54,023,649,725.73
  5. Step 5: Solve for x
    x = 54,023,649,725.73/354,420
  6. Step 6: Final answer
    x = 152,428.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.