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Finding the Fourth Proportional to 587,215, 810,357.51 and 318,943

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Solution

The fourth proportional to 587,215, 810,357.51 and 318,943 is: 440,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,215 : 810,357.51 = 318,943 : x
  2. Step 2: Convert to fraction form
    587,215/810,357.51 = 318,943/x
  3. Step 3: Cross multiply
    587,215x = 810,357.51 × 318,943
  4. Step 4: Simplify right side
    587,215x = 258,457,855,311.93
  5. Step 5: Solve for x
    x = 258,457,855,311.93/587,215
  6. Step 6: Final answer
    x = 440,141.78

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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.