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Finding the Fourth Proportional to 274,752.40, 411,437.40 and 180,749.20

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Solution

The fourth proportional to 274,752.40, 411,437.40 and 180,749.20 is: 270,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,752.40 : 411,437.40 = 180,749.20 : x
  2. Step 2: Convert to fraction form
    274,752.40/411,437.40 = 180,749.20/x
  3. Step 3: Cross multiply
    274,752.40x = 411,437.40 × 180,749.20
  4. Step 4: Simplify right side
    274,752.40x = 74,366,980,900.08
  5. Step 5: Solve for x
    x = 74,366,980,900.08/274,752.40
  6. Step 6: Final answer
    x = 270,669.09

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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.