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Finding the Fourth Proportional to 315,471.33, 435,330.15 and 172,231.06

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Solution

The fourth proportional to 315,471.33, 435,330.15 and 172,231.06 is: 237,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,471.33 : 435,330.15 = 172,231.06 : x
  2. Step 2: Convert to fraction form
    315,471.33/435,330.15 = 172,231.06/x
  3. Step 3: Cross multiply
    315,471.33x = 435,330.15 × 172,231.06
  4. Step 4: Simplify right side
    315,471.33x = 74,977,373,184.46
  5. Step 5: Solve for x
    x = 74,977,373,184.46/315,471.33
  6. Step 6: Final answer
    x = 237,667.79

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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.