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Finding the Fourth Proportional to 649,224.84, 978,268.69 and 533,488.80

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Solution

The fourth proportional to 649,224.84, 978,268.69 and 533,488.80 is: 803,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,224.84 : 978,268.69 = 533,488.80 : x
  2. Step 2: Convert to fraction form
    649,224.84/978,268.69 = 533,488.80/x
  3. Step 3: Cross multiply
    649,224.84x = 978,268.69 × 533,488.80
  4. Step 4: Simplify right side
    649,224.84x = 521,895,388,338.28
  5. Step 5: Solve for x
    x = 521,895,388,338.28/649,224.84
  6. Step 6: Final answer
    x = 803,874.65

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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.