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Finding the Fourth Proportional to 498,419.81, 687,810.56 and 283,555.29

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Solution

The fourth proportional to 498,419.81, 687,810.56 and 283,555.29 is: 391,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,419.81 : 687,810.56 = 283,555.29 : x
  2. Step 2: Convert to fraction form
    498,419.81/687,810.56 = 283,555.29/x
  3. Step 3: Cross multiply
    498,419.81x = 687,810.56 × 283,555.29
  4. Step 4: Simplify right side
    498,419.81x = 195,032,321,388.09
  5. Step 5: Solve for x
    x = 195,032,321,388.09/498,419.81
  6. Step 6: Final answer
    x = 391,301.31

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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.