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Finding the Fourth Proportional to 498,886.83, 688,464.47 and 284,026.88

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Solution

The fourth proportional to 498,886.83, 688,464.47 and 284,026.88 is: 391,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,886.83 : 688,464.47 = 284,026.88 : x
  2. Step 2: Convert to fraction form
    498,886.83/688,464.47 = 284,026.88/x
  3. Step 3: Cross multiply
    498,886.83x = 688,464.47 × 284,026.88
  4. Step 4: Simplify right side
    498,886.83x = 195,542,415,404.95
  5. Step 5: Solve for x
    x = 195,542,415,404.95/498,886.83
  6. Step 6: Final answer
    x = 391,957.46

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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.