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Finding the Fourth Proportional to 391,384.04, 587,301.84 and 211,470

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Solution

The fourth proportional to 391,384.04, 587,301.84 and 211,470 is: 317,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,384.04 : 587,301.84 = 211,470 : x
  2. Step 2: Convert to fraction form
    391,384.04/587,301.84 = 211,470/x
  3. Step 3: Cross multiply
    391,384.04x = 587,301.84 × 211,470
  4. Step 4: Simplify right side
    391,384.04x = 124,196,720,104.80
  5. Step 5: Solve for x
    x = 124,196,720,104.80/391,384.04
  6. Step 6: Final answer
    x = 317,326.99

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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.