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Finding the Fourth Proportional to 493,553.76, 681,098.94 and 278,681.10

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Solution

The fourth proportional to 493,553.76, 681,098.94 and 278,681.10 is: 384,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,553.76 : 681,098.94 = 278,681.10 : x
  2. Step 2: Convert to fraction form
    493,553.76/681,098.94 = 278,681.10/x
  3. Step 3: Cross multiply
    493,553.76x = 681,098.94 × 278,681.10
  4. Step 4: Simplify right side
    493,553.76x = 189,809,401,808.03
  5. Step 5: Solve for x
    x = 189,809,401,808.03/493,553.76
  6. Step 6: Final answer
    x = 384,576.95

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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.