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Finding the Fourth Proportional to 391,438, 540,184.62 and 212,590

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Solution

The fourth proportional to 391,438, 540,184.62 and 212,590 is: 293,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,438 : 540,184.62 = 212,590 : x
  2. Step 2: Convert to fraction form
    391,438/540,184.62 = 212,590/x
  3. Step 3: Cross multiply
    391,438x = 540,184.62 × 212,590
  4. Step 4: Simplify right side
    391,438x = 114,837,848,365.80
  5. Step 5: Solve for x
    x = 114,837,848,365.80/391,438
  6. Step 6: Final answer
    x = 293,374.30

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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.