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Finding the Fourth Proportional to 320,438.40, 480,657.60 and 268,339.20

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Solution

The fourth proportional to 320,438.40, 480,657.60 and 268,339.20 is: 402,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,438.40 : 480,657.60 = 268,339.20 : x
  2. Step 2: Convert to fraction form
    320,438.40/480,657.60 = 268,339.20/x
  3. Step 3: Cross multiply
    320,438.40x = 480,657.60 × 268,339.20
  4. Step 4: Simplify right side
    320,438.40x = 128,979,275,857.92
  5. Step 5: Solve for x
    x = 128,979,275,857.92/320,438.40
  6. Step 6: Final answer
    x = 402,508.80

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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.