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Finding the Fourth Proportional to 243,020.30, 364,530.45 and 209,194.70

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Solution

The fourth proportional to 243,020.30, 364,530.45 and 209,194.70 is: 313,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,020.30 : 364,530.45 = 209,194.70 : x
  2. Step 2: Convert to fraction form
    243,020.30/364,530.45 = 209,194.70/x
  3. Step 3: Cross multiply
    243,020.30x = 364,530.45 × 209,194.70
  4. Step 4: Simplify right side
    243,020.30x = 76,257,838,128.62
  5. Step 5: Solve for x
    x = 76,257,838,128.62/243,020.30
  6. Step 6: Final answer
    x = 313,792.05

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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.