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Finding the Fourth Proportional to 498,883.83, 688,460.33 and 284,023.88

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Solution

The fourth proportional to 498,883.83, 688,460.33 and 284,023.88 is: 391,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,883.83 : 688,460.33 = 284,023.88 : x
  2. Step 2: Convert to fraction form
    498,883.83/688,460.33 = 284,023.88/x
  3. Step 3: Cross multiply
    498,883.83x = 688,460.33 × 284,023.88
  4. Step 4: Simplify right side
    498,883.83x = 195,539,175,873.83
  5. Step 5: Solve for x
    x = 195,539,175,873.83/498,883.83
  6. Step 6: Final answer
    x = 391,953.32

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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.