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Finding the Fourth Proportional to 272,491.20, 408,320.40 and 114,633.12

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Solution

The fourth proportional to 272,491.20, 408,320.40 and 114,633.12 is: 171,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,491.20 : 408,320.40 = 114,633.12 : x
  2. Step 2: Convert to fraction form
    272,491.20/408,320.40 = 114,633.12/x
  3. Step 3: Cross multiply
    272,491.20x = 408,320.40 × 114,633.12
  4. Step 4: Simplify right side
    272,491.20x = 46,807,041,411.65
  5. Step 5: Solve for x
    x = 46,807,041,411.65/272,491.20
  6. Step 6: Final answer
    x = 171,774.51

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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.