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Finding the Fourth Proportional to 587,135.85, 810,233.75 and 345,434.00

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Solution

The fourth proportional to 587,135.85, 810,233.75 and 345,434.00 is: 476,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,135.85 : 810,233.75 = 345,434.00 : x
  2. Step 2: Convert to fraction form
    587,135.85/810,233.75 = 345,434.00/x
  3. Step 3: Cross multiply
    587,135.85x = 810,233.75 × 345,434.00
  4. Step 4: Simplify right side
    587,135.85x = 279,882,279,419.16
  5. Step 5: Solve for x
    x = 279,882,279,419.16/587,135.85
  6. Step 6: Final answer
    x = 476,690.84

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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.