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Finding the Fourth Proportional to 320,515.96, 480,642.72 and 142,901.52

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Solution

The fourth proportional to 320,515.96, 480,642.72 and 142,901.52 is: 214,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,515.96 : 480,642.72 = 142,901.52 : x
  2. Step 2: Convert to fraction form
    320,515.96/480,642.72 = 142,901.52/x
  3. Step 3: Cross multiply
    320,515.96x = 480,642.72 × 142,901.52
  4. Step 4: Simplify right side
    320,515.96x = 68,684,575,264.93
  5. Step 5: Solve for x
    x = 68,684,575,264.93/320,515.96
  6. Step 6: Final answer
    x = 214,293.78

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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.