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Finding the Fourth Proportional to 272,281.40, 408,422.10 and 147,865.40

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Solution

The fourth proportional to 272,281.40, 408,422.10 and 147,865.40 is: 221,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,281.40 : 408,422.10 = 147,865.40 : x
  2. Step 2: Convert to fraction form
    272,281.40/408,422.10 = 147,865.40/x
  3. Step 3: Cross multiply
    272,281.40x = 408,422.10 × 147,865.40
  4. Step 4: Simplify right side
    272,281.40x = 60,391,497,185.34
  5. Step 5: Solve for x
    x = 60,391,497,185.34/272,281.40
  6. Step 6: Final answer
    x = 221,798.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.