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Finding the Fourth Proportional to 320,673.60, 482,176.80 and 313,675.20

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Solution

The fourth proportional to 320,673.60, 482,176.80 and 313,675.20 is: 471,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,673.60 : 482,176.80 = 313,675.20 : x
  2. Step 2: Convert to fraction form
    320,673.60/482,176.80 = 313,675.20/x
  3. Step 3: Cross multiply
    320,673.60x = 482,176.80 × 313,675.20
  4. Step 4: Simplify right side
    320,673.60x = 151,246,904,175.36
  5. Step 5: Solve for x
    x = 151,246,904,175.36/320,673.60
  6. Step 6: Final answer
    x = 471,653.74

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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.