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Finding the Fourth Proportional to 383,712.78, 575,323.17 and 159,228.17

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Solution

The fourth proportional to 383,712.78, 575,323.17 and 159,228.17 is: 238,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,712.78 : 575,323.17 = 159,228.17 : x
  2. Step 2: Convert to fraction form
    383,712.78/575,323.17 = 159,228.17/x
  3. Step 3: Cross multiply
    383,712.78x = 575,323.17 × 159,228.17
  4. Step 4: Simplify right side
    383,712.78x = 91,607,655,517.70
  5. Step 5: Solve for x
    x = 91,607,655,517.70/383,712.78
  6. Step 6: Final answer
    x = 238,740.17

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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.