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Finding the Fourth Proportional to 1,294,710, 1,942,065 and 408,246

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Solution

The fourth proportional to 1,294,710, 1,942,065 and 408,246 is: 612,369

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,710 : 1,942,065 = 408,246 : x
  2. Step 2: Convert to fraction form
    1,294,710/1,942,065 = 408,246/x
  3. Step 3: Cross multiply
    1,294,710x = 1,942,065 × 408,246
  4. Step 4: Simplify right side
    1,294,710x = 792,840,267,990
  5. Step 5: Solve for x
    x = 792,840,267,990/1,294,710
  6. Step 6: Final answer
    x = 612,369

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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.