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Finding the Fourth Proportional to 422,430.17, 633,786.74 and 138,133.85

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Solution

The fourth proportional to 422,430.17, 633,786.74 and 138,133.85 is: 207,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,430.17 : 633,786.74 = 138,133.85 : x
  2. Step 2: Convert to fraction form
    422,430.17/633,786.74 = 138,133.85/x
  3. Step 3: Cross multiply
    422,430.17x = 633,786.74 × 138,133.85
  4. Step 4: Simplify right side
    422,430.17x = 87,547,401,784.48
  5. Step 5: Solve for x
    x = 87,547,401,784.48/422,430.17
  6. Step 6: Final answer
    x = 207,247.04

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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.