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Finding the Fourth Proportional to 802,442, 1,107,369.96 and 444,746

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Solution

The fourth proportional to 802,442, 1,107,369.96 and 444,746 is: 613,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,442 : 1,107,369.96 = 444,746 : x
  2. Step 2: Convert to fraction form
    802,442/1,107,369.96 = 444,746/x
  3. Step 3: Cross multiply
    802,442x = 1,107,369.96 × 444,746
  4. Step 4: Simplify right side
    802,442x = 492,498,360,230.16
  5. Step 5: Solve for x
    x = 492,498,360,230.16/802,442
  6. Step 6: Final answer
    x = 613,749.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.