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Finding the Fourth Proportional to 270,045.20, 405,359.40 and 151,947.20

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Solution

The fourth proportional to 270,045.20, 405,359.40 and 151,947.20 is: 228,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,045.20 : 405,359.40 = 151,947.20 : x
  2. Step 2: Convert to fraction form
    270,045.20/405,359.40 = 151,947.20/x
  3. Step 3: Cross multiply
    270,045.20x = 405,359.40 × 151,947.20
  4. Step 4: Simplify right side
    270,045.20x = 61,593,225,823.68
  5. Step 5: Solve for x
    x = 61,593,225,823.68/270,045.20
  6. Step 6: Final answer
    x = 228,084.88

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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.