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Finding the Fourth Proportional to 391,462, 587,418.80 and 211,547.84

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Solution

The fourth proportional to 391,462, 587,418.80 and 211,547.84 is: 317,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,462 : 587,418.80 = 211,547.84 : x
  2. Step 2: Convert to fraction form
    391,462/587,418.80 = 211,547.84/x
  3. Step 3: Cross multiply
    391,462x = 587,418.80 × 211,547.84
  4. Step 4: Simplify right side
    391,462x = 124,267,178,315.39
  5. Step 5: Solve for x
    x = 124,267,178,315.39/391,462
  6. Step 6: Final answer
    x = 317,443.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.