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Finding the Fourth Proportional to 407,137.10, 610,414.05 and 170,357.90

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Solution

The fourth proportional to 407,137.10, 610,414.05 and 170,357.90 is: 255,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,137.10 : 610,414.05 = 170,357.90 : x
  2. Step 2: Convert to fraction form
    407,137.10/610,414.05 = 170,357.90/x
  3. Step 3: Cross multiply
    407,137.10x = 610,414.05 × 170,357.90
  4. Step 4: Simplify right side
    407,137.10x = 103,988,855,688.50
  5. Step 5: Solve for x
    x = 103,988,855,688.50/407,137.10
  6. Step 6: Final answer
    x = 255,414.84

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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.