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Finding the Fourth Proportional to 259,145.10, 357,498 and 151,648.61

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Solution

The fourth proportional to 259,145.10, 357,498 and 151,648.61 is: 209,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,145.10 : 357,498 = 151,648.61 : x
  2. Step 2: Convert to fraction form
    259,145.10/357,498 = 151,648.61/x
  3. Step 3: Cross multiply
    259,145.10x = 357,498 × 151,648.61
  4. Step 4: Simplify right side
    259,145.10x = 54,214,072,990.29
  5. Step 5: Solve for x
    x = 54,214,072,990.29/259,145.10
  6. Step 6: Final answer
    x = 209,203.54

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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.