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Finding the Fourth Proportional to 391,371, 540,091.98 and 212,523

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Solution

The fourth proportional to 391,371, 540,091.98 and 212,523 is: 293,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,371 : 540,091.98 = 212,523 : x
  2. Step 2: Convert to fraction form
    391,371/540,091.98 = 212,523/x
  3. Step 3: Cross multiply
    391,371x = 540,091.98 × 212,523
  4. Step 4: Simplify right side
    391,371x = 114,781,967,865.54
  5. Step 5: Solve for x
    x = 114,781,967,865.54/391,371
  6. Step 6: Final answer
    x = 293,281.74

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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.