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Finding the Fourth Proportional to 686,969.19, 948,020.93 and 381,024.29

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Solution

The fourth proportional to 686,969.19, 948,020.93 and 381,024.29 is: 525,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,969.19 : 948,020.93 = 381,024.29 : x
  2. Step 2: Convert to fraction form
    686,969.19/948,020.93 = 381,024.29/x
  3. Step 3: Cross multiply
    686,969.19x = 948,020.93 × 381,024.29
  4. Step 4: Simplify right side
    686,969.19x = 361,219,001,758.39
  5. Step 5: Solve for x
    x = 361,219,001,758.39/686,969.19
  6. Step 6: Final answer
    x = 525,815.43

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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.