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Finding the Fourth Proportional to 259,306, 357,833.32 and 146,122

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Solution

The fourth proportional to 259,306, 357,833.32 and 146,122 is: 201,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,306 : 357,833.32 = 146,122 : x
  2. Step 2: Convert to fraction form
    259,306/357,833.32 = 146,122/x
  3. Step 3: Cross multiply
    259,306x = 357,833.32 × 146,122
  4. Step 4: Simplify right side
    259,306x = 52,287,320,385.04
  5. Step 5: Solve for x
    x = 52,287,320,385.04/259,306
  6. Step 6: Final answer
    x = 201,643.31

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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.