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Finding the Fourth Proportional to 498,345.90, 687,783.06 and 283,444.47

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Solution

The fourth proportional to 498,345.90, 687,783.06 and 283,444.47 is: 391,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,345.90 : 687,783.06 = 283,444.47 : x
  2. Step 2: Convert to fraction form
    498,345.90/687,783.06 = 283,444.47/x
  3. Step 3: Cross multiply
    498,345.90x = 687,783.06 × 283,444.47
  4. Step 4: Simplify right side
    498,345.90x = 194,948,304,916.68
  5. Step 5: Solve for x
    x = 194,948,304,916.68/498,345.90
  6. Step 6: Final answer
    x = 391,190.75

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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.