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Finding the Fourth Proportional to 867,967, 1,301,950.74 and 418,604.20

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Solution

The fourth proportional to 867,967, 1,301,950.74 and 418,604.20 is: 627,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,967 : 1,301,950.74 = 418,604.20 : x
  2. Step 2: Convert to fraction form
    867,967/1,301,950.74 = 418,604.20/x
  3. Step 3: Cross multiply
    867,967x = 1,301,950.74 × 418,604.20
  4. Step 4: Simplify right side
    867,967x = 545,002,047,957.11
  5. Step 5: Solve for x
    x = 545,002,047,957.11/867,967
  6. Step 6: Final answer
    x = 627,906.42

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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.