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Finding the Fourth Proportional to 280,578.70, 420,868.05 and 70,216.30

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Solution

The fourth proportional to 280,578.70, 420,868.05 and 70,216.30 is: 105,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,578.70 : 420,868.05 = 70,216.30 : x
  2. Step 2: Convert to fraction form
    280,578.70/420,868.05 = 70,216.30/x
  3. Step 3: Cross multiply
    280,578.70x = 420,868.05 × 70,216.30
  4. Step 4: Simplify right side
    280,578.70x = 29,551,797,259.22
  5. Step 5: Solve for x
    x = 29,551,797,259.22/280,578.70
  6. Step 6: Final answer
    x = 105,324.45

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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.