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Finding the Fourth Proportional to 649,227.65, 978,272.93 and 533,491.61

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Solution

The fourth proportional to 649,227.65, 978,272.93 and 533,491.61 is: 803,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,227.65 : 978,272.93 = 533,491.61 : x
  2. Step 2: Convert to fraction form
    649,227.65/978,272.93 = 533,491.61/x
  3. Step 3: Cross multiply
    649,227.65x = 978,272.93 × 533,491.61
  4. Step 4: Simplify right side
    649,227.65x = 521,900,396,887.48
  5. Step 5: Solve for x
    x = 521,900,396,887.48/649,227.65
  6. Step 6: Final answer
    x = 803,878.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.