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Finding the Fourth Proportional to 423,756.05, 635,301.75 and 199,000.81

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Solution

The fourth proportional to 423,756.05, 635,301.75 and 199,000.81 is: 298,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,756.05 : 635,301.75 = 199,000.81 : x
  2. Step 2: Convert to fraction form
    423,756.05/635,301.75 = 199,000.81/x
  3. Step 3: Cross multiply
    423,756.05x = 635,301.75 × 199,000.81
  4. Step 4: Simplify right side
    423,756.05x = 126,425,559,667.91
  5. Step 5: Solve for x
    x = 126,425,559,667.91/423,756.05
  6. Step 6: Final answer
    x = 298,345.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.