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Finding the Fourth Proportional to 259,304, 357,830.56 and 146,120

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Solution

The fourth proportional to 259,304, 357,830.56 and 146,120 is: 201,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,304 : 357,830.56 = 146,120 : x
  2. Step 2: Convert to fraction form
    259,304/357,830.56 = 146,120/x
  3. Step 3: Cross multiply
    259,304x = 357,830.56 × 146,120
  4. Step 4: Simplify right side
    259,304x = 52,286,201,427.20
  5. Step 5: Solve for x
    x = 52,286,201,427.20/259,304
  6. Step 6: Final answer
    x = 201,640.55

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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.