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Finding the Fourth Proportional to 313,562.78, 432,724.69 and 170,331.02

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Solution

The fourth proportional to 313,562.78, 432,724.69 and 170,331.02 is: 235,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,562.78 : 432,724.69 = 170,331.02 : x
  2. Step 2: Convert to fraction form
    313,562.78/432,724.69 = 170,331.02/x
  3. Step 3: Cross multiply
    313,562.78x = 432,724.69 × 170,331.02
  4. Step 4: Simplify right side
    313,562.78x = 73,706,439,334.52
  5. Step 5: Solve for x
    x = 73,706,439,334.52/313,562.78
  6. Step 6: Final answer
    x = 235,061.19

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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.