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Finding the Fourth Proportional to 419,502.49, 578,886.15 and 247,380.98

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Solution

The fourth proportional to 419,502.49, 578,886.15 and 247,380.98 is: 341,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,502.49 : 578,886.15 = 247,380.98 : x
  2. Step 2: Convert to fraction form
    419,502.49/578,886.15 = 247,380.98/x
  3. Step 3: Cross multiply
    419,502.49x = 578,886.15 × 247,380.98
  4. Step 4: Simplify right side
    419,502.49x = 143,205,420,201.00
  5. Step 5: Solve for x
    x = 143,205,420,201.00/419,502.49
  6. Step 6: Final answer
    x = 341,369.66

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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.