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Finding the Fourth Proportional to 485,987.28, 670,647.24 and 284,917.20

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Solution

The fourth proportional to 485,987.28, 670,647.24 and 284,917.20 is: 393,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,987.28 : 670,647.24 = 284,917.20 : x
  2. Step 2: Convert to fraction form
    485,987.28/670,647.24 = 284,917.20/x
  3. Step 3: Cross multiply
    485,987.28x = 670,647.24 × 284,917.20
  4. Step 4: Simplify right side
    485,987.28x = 191,078,933,808.53
  5. Step 5: Solve for x
    x = 191,078,933,808.53/485,987.28
  6. Step 6: Final answer
    x = 393,176.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.