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Finding the Fourth Proportional to 587,142.34, 810,242.70 and 345,440.46

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Solution

The fourth proportional to 587,142.34, 810,242.70 and 345,440.46 is: 476,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,142.34 : 810,242.70 = 345,440.46 : x
  2. Step 2: Convert to fraction form
    587,142.34/810,242.70 = 345,440.46/x
  3. Step 3: Cross multiply
    587,142.34x = 810,242.70 × 345,440.46
  4. Step 4: Simplify right side
    587,142.34x = 279,890,612,742.65
  5. Step 5: Solve for x
    x = 279,890,612,742.65/587,142.34
  6. Step 6: Final answer
    x = 476,699.76

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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.