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Finding the Fourth Proportional to 243,013.80, 364,520.70 and 209,188.20

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Solution

The fourth proportional to 243,013.80, 364,520.70 and 209,188.20 is: 313,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,013.80 : 364,520.70 = 209,188.20 : x
  2. Step 2: Convert to fraction form
    243,013.80/364,520.70 = 209,188.20/x
  3. Step 3: Cross multiply
    243,013.80x = 364,520.70 × 209,188.20
  4. Step 4: Simplify right side
    243,013.80x = 76,253,429,095.74
  5. Step 5: Solve for x
    x = 76,253,429,095.74/243,013.80
  6. Step 6: Final answer
    x = 313,782.30

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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.