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Finding the Fourth Proportional to 407,730.96, 611,317.44 and 207,664.20

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Solution

The fourth proportional to 407,730.96, 611,317.44 and 207,664.20 is: 311,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,730.96 : 611,317.44 = 207,664.20 : x
  2. Step 2: Convert to fraction form
    407,730.96/611,317.44 = 207,664.20/x
  3. Step 3: Cross multiply
    407,730.96x = 611,317.44 × 207,664.20
  4. Step 4: Simplify right side
    407,730.96x = 126,948,747,123.65
  5. Step 5: Solve for x
    x = 126,948,747,123.65/407,730.96
  6. Step 6: Final answer
    x = 311,354.20

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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.