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Finding the Fourth Proportional to 390,723.82, 586,097.68 and 134,553.64

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Solution

The fourth proportional to 390,723.82, 586,097.68 and 134,553.64 is: 201,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,723.82 : 586,097.68 = 134,553.64 : x
  2. Step 2: Convert to fraction form
    390,723.82/586,097.68 = 134,553.64/x
  3. Step 3: Cross multiply
    390,723.82x = 586,097.68 × 134,553.64
  4. Step 4: Simplify right side
    390,723.82x = 78,861,576,239.56
  5. Step 5: Solve for x
    x = 78,861,576,239.56/390,723.82
  6. Step 6: Final answer
    x = 201,834.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.