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Finding the Fourth Proportional to 497,843.70, 687,065.13 and 283,051.14

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Solution

The fourth proportional to 497,843.70, 687,065.13 and 283,051.14 is: 390,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,843.70 : 687,065.13 = 283,051.14 : x
  2. Step 2: Convert to fraction form
    497,843.70/687,065.13 = 283,051.14/x
  3. Step 3: Cross multiply
    497,843.70x = 687,065.13 × 283,051.14
  4. Step 4: Simplify right side
    497,843.70x = 194,474,568,300.75
  5. Step 5: Solve for x
    x = 194,474,568,300.75/497,843.70
  6. Step 6: Final answer
    x = 390,633.78

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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.