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Finding the Fourth Proportional to 268,406.92, 370,401.42 and 147,556

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Solution

The fourth proportional to 268,406.92, 370,401.42 and 147,556 is: 203,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,406.92 : 370,401.42 = 147,556 : x
  2. Step 2: Convert to fraction form
    268,406.92/370,401.42 = 147,556/x
  3. Step 3: Cross multiply
    268,406.92x = 370,401.42 × 147,556
  4. Step 4: Simplify right side
    268,406.92x = 54,654,951,929.52
  5. Step 5: Solve for x
    x = 54,654,951,929.52/268,406.92
  6. Step 6: Final answer
    x = 203,627.21

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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.