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Finding the Fourth Proportional to 261,435.20, 360,750.96 and 146,698.84

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Solution

The fourth proportional to 261,435.20, 360,750.96 and 146,698.84 is: 202,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,435.20 : 360,750.96 = 146,698.84 : x
  2. Step 2: Convert to fraction form
    261,435.20/360,750.96 = 146,698.84/x
  3. Step 3: Cross multiply
    261,435.20x = 360,750.96 × 146,698.84
  4. Step 4: Simplify right side
    261,435.20x = 52,921,747,360.89
  5. Step 5: Solve for x
    x = 52,921,747,360.89/261,435.20
  6. Step 6: Final answer
    x = 202,427.78

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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.