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Finding the Fourth Proportional to 686,893.42, 947,969.55 and 381,068.26

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Solution

The fourth proportional to 686,893.42, 947,969.55 and 381,068.26 is: 525,905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,893.42 : 947,969.55 = 381,068.26 : x
  2. Step 2: Convert to fraction form
    686,893.42/947,969.55 = 381,068.26/x
  3. Step 3: Cross multiply
    686,893.42x = 947,969.55 × 381,068.26
  4. Step 4: Simplify right side
    686,893.42x = 361,241,106,951.48
  5. Step 5: Solve for x
    x = 361,241,106,951.48/686,893.42
  6. Step 6: Final answer
    x = 525,905.62

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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.