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Finding the Fourth Proportional to 422,666.50, 583,279.91 and 231,681.19

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Solution

The fourth proportional to 422,666.50, 583,279.91 and 231,681.19 is: 319,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,666.50 : 583,279.91 = 231,681.19 : x
  2. Step 2: Convert to fraction form
    422,666.50/583,279.91 = 231,681.19/x
  3. Step 3: Cross multiply
    422,666.50x = 583,279.91 × 231,681.19
  4. Step 4: Simplify right side
    422,666.50x = 135,134,983,651.89
  5. Step 5: Solve for x
    x = 135,134,983,651.89/422,666.50
  6. Step 6: Final answer
    x = 319,720.12

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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.