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Finding the Fourth Proportional to 649,221.89, 978,264.24 and 533,485.85

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Solution

The fourth proportional to 649,221.89, 978,264.24 and 533,485.85 is: 803,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,221.89 : 978,264.24 = 533,485.85 : x
  2. Step 2: Convert to fraction form
    649,221.89/978,264.24 = 533,485.85/x
  3. Step 3: Cross multiply
    649,221.89x = 978,264.24 × 533,485.85
  4. Step 4: Simplify right side
    649,221.89x = 521,890,122,709.11
  5. Step 5: Solve for x
    x = 521,890,122,709.11/649,221.89
  6. Step 6: Final answer
    x = 803,870.19

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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.