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Finding the Fourth Proportional to 297,981.90, 411,211.86 and 221,841.50

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Solution

The fourth proportional to 297,981.90, 411,211.86 and 221,841.50 is: 306,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,981.90 : 411,211.86 = 221,841.50 : x
  2. Step 2: Convert to fraction form
    297,981.90/411,211.86 = 221,841.50/x
  3. Step 3: Cross multiply
    297,981.90x = 411,211.86 × 221,841.50
  4. Step 4: Simplify right side
    297,981.90x = 91,223,853,784.13
  5. Step 5: Solve for x
    x = 91,223,853,784.13/297,981.90
  6. Step 6: Final answer
    x = 306,138.91

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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.