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Finding the Fourth Proportional to 498,642.96, 688,102.56 and 283,801.68

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Solution

The fourth proportional to 498,642.96, 688,102.56 and 283,801.68 is: 391,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,642.96 : 688,102.56 = 283,801.68 : x
  2. Step 2: Convert to fraction form
    498,642.96/688,102.56 = 283,801.68/x
  3. Step 3: Cross multiply
    498,642.96x = 688,102.56 × 283,801.68
  4. Step 4: Simplify right side
    498,642.96x = 195,284,662,540.30
  5. Step 5: Solve for x
    x = 195,284,662,540.30/498,642.96
  6. Step 6: Final answer
    x = 391,632.25

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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.