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Finding the Fourth Proportional to 320,276.64, 480,823.20 and 261,227.52

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Solution

The fourth proportional to 320,276.64, 480,823.20 and 261,227.52 is: 392,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,276.64 : 480,823.20 = 261,227.52 : x
  2. Step 2: Convert to fraction form
    320,276.64/480,823.20 = 261,227.52/x
  3. Step 3: Cross multiply
    320,276.64x = 480,823.20 × 261,227.52
  4. Step 4: Simplify right side
    320,276.64x = 125,604,252,094.46
  5. Step 5: Solve for x
    x = 125,604,252,094.46/320,276.64
  6. Step 6: Final answer
    x = 392,174.25

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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.