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Finding the Fourth Proportional to 272,453.54, 408,695.64 and 82,920.02

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Solution

The fourth proportional to 272,453.54, 408,695.64 and 82,920.02 is: 124,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,453.54 : 408,695.64 = 82,920.02 : x
  2. Step 2: Convert to fraction form
    272,453.54/408,695.64 = 82,920.02/x
  3. Step 3: Cross multiply
    272,453.54x = 408,695.64 × 82,920.02
  4. Step 4: Simplify right side
    272,453.54x = 33,889,050,642.71
  5. Step 5: Solve for x
    x = 33,889,050,642.71/272,453.54
  6. Step 6: Final answer
    x = 124,384.70

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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.