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Finding the Fourth Proportional to 206,482.05, 309,657.47 and 140,347.17

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Solution

The fourth proportional to 206,482.05, 309,657.47 and 140,347.17 is: 210,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,482.05 : 309,657.47 = 140,347.17 : x
  2. Step 2: Convert to fraction form
    206,482.05/309,657.47 = 140,347.17/x
  3. Step 3: Cross multiply
    206,482.05x = 309,657.47 × 140,347.17
  4. Step 4: Simplify right side
    206,482.05x = 43,459,550,147.76
  5. Step 5: Solve for x
    x = 43,459,550,147.76/206,482.05
  6. Step 6: Final answer
    x = 210,476.16

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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.