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Finding the Fourth Proportional to 587,214, 810,356.13 and 318,942

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Solution

The fourth proportional to 587,214, 810,356.13 and 318,942 is: 440,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,214 : 810,356.13 = 318,942 : x
  2. Step 2: Convert to fraction form
    587,214/810,356.13 = 318,942/x
  3. Step 3: Cross multiply
    587,214x = 810,356.13 × 318,942
  4. Step 4: Simplify right side
    587,214x = 258,456,604,814.46
  5. Step 5: Solve for x
    x = 258,456,604,814.46/587,214
  6. Step 6: Final answer
    x = 440,140.40

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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.