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Finding the Fourth Proportional to 419,431.38, 578,872.44 and 247,397.94

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Solution

The fourth proportional to 419,431.38, 578,872.44 and 247,397.94 is: 341,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,431.38 : 578,872.44 = 247,397.94 : x
  2. Step 2: Convert to fraction form
    419,431.38/578,872.44 = 247,397.94/x
  3. Step 3: Cross multiply
    419,431.38x = 578,872.44 × 247,397.94
  4. Step 4: Simplify right side
    419,431.38x = 143,211,849,178.77
  5. Step 5: Solve for x
    x = 143,211,849,178.77/419,431.38
  6. Step 6: Final answer
    x = 341,442.86

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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.