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Finding the Fourth Proportional to 1,079,263, 1,618,972.98 and 414,415

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Solution

The fourth proportional to 1,079,263, 1,618,972.98 and 414,415 is: 621,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,263 : 1,618,972.98 = 414,415 : x
  2. Step 2: Convert to fraction form
    1,079,263/1,618,972.98 = 414,415/x
  3. Step 3: Cross multiply
    1,079,263x = 1,618,972.98 × 414,415
  4. Step 4: Simplify right side
    1,079,263x = 670,926,687,506.70
  5. Step 5: Solve for x
    x = 670,926,687,506.70/1,079,263
  6. Step 6: Final answer
    x = 621,652.63

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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.