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Finding the Fourth Proportional to 422,330.79, 633,430.17 and 138,019.08

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Solution

The fourth proportional to 422,330.79, 633,430.17 and 138,019.08 is: 207,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,330.79 : 633,430.17 = 138,019.08 : x
  2. Step 2: Convert to fraction form
    422,330.79/633,430.17 = 138,019.08/x
  3. Step 3: Cross multiply
    422,330.79x = 633,430.17 × 138,019.08
  4. Step 4: Simplify right side
    422,330.79x = 87,425,449,307.64
  5. Step 5: Solve for x
    x = 87,425,449,307.64/422,330.79
  6. Step 6: Final answer
    x = 207,007.05

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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.