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Finding the Fourth Proportional to 268,827.40, 370,978.87 and 147,966.09

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Solution

The fourth proportional to 268,827.40, 370,978.87 and 147,966.09 is: 204,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,827.40 : 370,978.87 = 147,966.09 : x
  2. Step 2: Convert to fraction form
    268,827.40/370,978.87 = 147,966.09/x
  3. Step 3: Cross multiply
    268,827.40x = 370,978.87 × 147,966.09
  4. Step 4: Simplify right side
    268,827.40x = 54,892,292,866.52
  5. Step 5: Solve for x
    x = 54,892,292,866.52/268,827.40
  6. Step 6: Final answer
    x = 204,191.58

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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.