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Finding the Fourth Proportional to 259,647.96, 358,320.60 and 146,478

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Solution

The fourth proportional to 259,647.96, 358,320.60 and 146,478 is: 202,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,647.96 : 358,320.60 = 146,478 : x
  2. Step 2: Convert to fraction form
    259,647.96/358,320.60 = 146,478/x
  3. Step 3: Cross multiply
    259,647.96x = 358,320.60 × 146,478
  4. Step 4: Simplify right side
    259,647.96x = 52,486,084,846.80
  5. Step 5: Solve for x
    x = 52,486,084,846.80/259,647.96
  6. Step 6: Final answer
    x = 202,143.26

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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.