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Finding the Fourth Proportional to 809,894.81, 1,117,871 and 465,768.34

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Solution

The fourth proportional to 809,894.81, 1,117,871 and 465,768.34 is: 642,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,894.81 : 1,117,871 = 465,768.34 : x
  2. Step 2: Convert to fraction form
    809,894.81/1,117,871 = 465,768.34/x
  3. Step 3: Cross multiply
    809,894.81x = 1,117,871 × 465,768.34
  4. Step 4: Simplify right side
    809,894.81x = 520,668,920,004.14
  5. Step 5: Solve for x
    x = 520,668,920,004.14/809,894.81
  6. Step 6: Final answer
    x = 642,884.62

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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.