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Finding the Fourth Proportional to 407,341.85, 610,815.26 and 238,917.20

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Solution

The fourth proportional to 407,341.85, 610,815.26 and 238,917.20 is: 358,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,341.85 : 610,815.26 = 238,917.20 : x
  2. Step 2: Convert to fraction form
    407,341.85/610,815.26 = 238,917.20/x
  3. Step 3: Cross multiply
    407,341.85x = 610,815.26 × 238,917.20
  4. Step 4: Simplify right side
    407,341.85x = 145,934,269,179.69
  5. Step 5: Solve for x
    x = 145,934,269,179.69/407,341.85
  6. Step 6: Final answer
    x = 358,259.95

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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.