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Finding the Fourth Proportional to 422,102.57, 583,012.76 and 307,199.00

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Solution

The fourth proportional to 422,102.57, 583,012.76 and 307,199.00 is: 424,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,102.57 : 583,012.76 = 307,199.00 : x
  2. Step 2: Convert to fraction form
    422,102.57/583,012.76 = 307,199.00/x
  3. Step 3: Cross multiply
    422,102.57x = 583,012.76 × 307,199.00
  4. Step 4: Simplify right side
    422,102.57x = 179,100,936,780.78
  5. Step 5: Solve for x
    x = 179,100,936,780.78/422,102.57
  6. Step 6: Final answer
    x = 424,306.68

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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.