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Finding the Fourth Proportional to 268,421.92, 370,422.12 and 147,571

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Solution

The fourth proportional to 268,421.92, 370,422.12 and 147,571 is: 203,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,421.92 : 370,422.12 = 147,571 : x
  2. Step 2: Convert to fraction form
    268,421.92/370,422.12 = 147,571/x
  3. Step 3: Cross multiply
    268,421.92x = 370,422.12 × 147,571
  4. Step 4: Simplify right side
    268,421.92x = 54,663,562,670.52
  5. Step 5: Solve for x
    x = 54,663,562,670.52/268,421.92
  6. Step 6: Final answer
    x = 203,647.91

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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.