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Finding the Fourth Proportional to 320,252.27, 480,386.84 and 140,245.07

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Solution

The fourth proportional to 320,252.27, 480,386.84 and 140,245.07 is: 210,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,252.27 : 480,386.84 = 140,245.07 : x
  2. Step 2: Convert to fraction form
    320,252.27/480,386.84 = 140,245.07/x
  3. Step 3: Cross multiply
    320,252.27x = 480,386.84 × 140,245.07
  4. Step 4: Simplify right side
    320,252.27x = 67,371,882,899.72
  5. Step 5: Solve for x
    x = 67,371,882,899.72/320,252.27
  6. Step 6: Final answer
    x = 210,371.29

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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.