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Finding the Fourth Proportional to 686,996.64, 948,058.38 and 381,051.72

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Solution

The fourth proportional to 686,996.64, 948,058.38 and 381,051.72 is: 525,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,996.64 : 948,058.38 = 381,051.72 : x
  2. Step 2: Convert to fraction form
    686,996.64/948,058.38 = 381,051.72/x
  3. Step 3: Cross multiply
    686,996.64x = 948,058.38 × 381,051.72
  4. Step 4: Simplify right side
    686,996.64x = 361,259,276,359.41
  5. Step 5: Solve for x
    x = 361,259,276,359.41/686,996.64
  6. Step 6: Final answer
    x = 525,853.05

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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.