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Finding the Fourth Proportional to 272,661.65, 408,802.74 and 120,776.28

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Solution

The fourth proportional to 272,661.65, 408,802.74 and 120,776.28 is: 181,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,661.65 : 408,802.74 = 120,776.28 : x
  2. Step 2: Convert to fraction form
    272,661.65/408,802.74 = 120,776.28/x
  3. Step 3: Cross multiply
    272,661.65x = 408,802.74 × 120,776.28
  4. Step 4: Simplify right side
    272,661.65x = 49,373,672,658.00
  5. Step 5: Solve for x
    x = 49,373,672,658.00/272,661.65
  6. Step 6: Final answer
    x = 181,080.37

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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.