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Finding the Fourth Proportional to 986,658.72, 1,478,742 and 822,429.60

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Solution

The fourth proportional to 986,658.72, 1,478,742 and 822,429.60 is: 1,232,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,658.72 : 1,478,742 = 822,429.60 : x
  2. Step 2: Convert to fraction form
    986,658.72/1,478,742 = 822,429.60/x
  3. Step 3: Cross multiply
    986,658.72x = 1,478,742 × 822,429.60
  4. Step 4: Simplify right side
    986,658.72x = 1,216,161,191,563.20
  5. Step 5: Solve for x
    x = 1,216,161,191,563.20/986,658.72
  6. Step 6: Final answer
    x = 1,232,605.73

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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.