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Finding the Fourth Proportional to 587,378.84, 810,567.05 and 345,675.65

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Solution

The fourth proportional to 587,378.84, 810,567.05 and 345,675.65 is: 477,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,378.84 : 810,567.05 = 345,675.65 : x
  2. Step 2: Convert to fraction form
    587,378.84/810,567.05 = 345,675.65/x
  3. Step 3: Cross multiply
    587,378.84x = 810,567.05 × 345,675.65
  4. Step 4: Simplify right side
    587,378.84x = 280,193,294,767.94
  5. Step 5: Solve for x
    x = 280,193,294,767.94/587,378.84
  6. Step 6: Final answer
    x = 477,023.13

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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.