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Finding the Fourth Proportional to 320,483.52, 480,725.28 and 142,947.72

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Solution

The fourth proportional to 320,483.52, 480,725.28 and 142,947.72 is: 214,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,483.52 : 480,725.28 = 142,947.72 : x
  2. Step 2: Convert to fraction form
    320,483.52/480,725.28 = 142,947.72/x
  3. Step 3: Cross multiply
    320,483.52x = 480,725.28 × 142,947.72
  4. Step 4: Simplify right side
    320,483.52x = 68,718,582,722.36
  5. Step 5: Solve for x
    x = 68,718,582,722.36/320,483.52
  6. Step 6: Final answer
    x = 214,421.58

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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.