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Finding the Fourth Proportional to 259,358.72, 357,910.08 and 146,179.20

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Solution

The fourth proportional to 259,358.72, 357,910.08 and 146,179.20 is: 201,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,358.72 : 357,910.08 = 146,179.20 : x
  2. Step 2: Convert to fraction form
    259,358.72/357,910.08 = 146,179.20/x
  3. Step 3: Cross multiply
    259,358.72x = 357,910.08 × 146,179.20
  4. Step 4: Simplify right side
    259,358.72x = 52,319,009,166.34
  5. Step 5: Solve for x
    x = 52,319,009,166.34/259,358.72
  6. Step 6: Final answer
    x = 201,724.50

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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.