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Finding the Fourth Proportional to 587,216, 810,358.89 and 318,944

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Solution

The fourth proportional to 587,216, 810,358.89 and 318,944 is: 440,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,216 : 810,358.89 = 318,944 : x
  2. Step 2: Convert to fraction form
    587,216/810,358.89 = 318,944/x
  3. Step 3: Cross multiply
    587,216x = 810,358.89 × 318,944
  4. Step 4: Simplify right side
    587,216x = 258,459,105,812.16
  5. Step 5: Solve for x
    x = 258,459,105,812.16/587,216
  6. Step 6: Final answer
    x = 440,143.16

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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.