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Finding the Fourth Proportional to 419,435.88, 578,878.65 and 247,402.44

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Solution

The fourth proportional to 419,435.88, 578,878.65 and 247,402.44 is: 341,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,435.88 : 578,878.65 = 247,402.44 : x
  2. Step 2: Convert to fraction form
    419,435.88/578,878.65 = 247,402.44/x
  3. Step 3: Cross multiply
    419,435.88x = 578,878.65 × 247,402.44
  4. Step 4: Simplify right side
    419,435.88x = 143,215,990,473.91
  5. Step 5: Solve for x
    x = 143,215,990,473.91/419,435.88
  6. Step 6: Final answer
    x = 341,449.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.