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Finding the Fourth Proportional to 686,753.73, 947,817.36 and 380,897.73

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Solution

The fourth proportional to 686,753.73, 947,817.36 and 380,897.73 is: 525,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,753.73 : 947,817.36 = 380,897.73 : x
  2. Step 2: Convert to fraction form
    686,753.73/947,817.36 = 380,897.73/x
  3. Step 3: Cross multiply
    686,753.73x = 947,817.36 × 380,897.73
  4. Step 4: Simplify right side
    686,753.73x = 361,021,480,878.59
  5. Step 5: Solve for x
    x = 361,021,480,878.59/686,753.73
  6. Step 6: Final answer
    x = 525,692.78

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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.