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Finding the Fourth Proportional to 649,222.59, 978,265.30 and 533,486.55

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Solution

The fourth proportional to 649,222.59, 978,265.30 and 533,486.55 is: 803,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,222.59 : 978,265.30 = 533,486.55 : x
  2. Step 2: Convert to fraction form
    649,222.59/978,265.30 = 533,486.55/x
  3. Step 3: Cross multiply
    649,222.59x = 978,265.30 × 533,486.55
  4. Step 4: Simplify right side
    649,222.59x = 521,891,376,213.61
  5. Step 5: Solve for x
    x = 521,891,376,213.61/649,222.59
  6. Step 6: Final answer
    x = 803,871.25

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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.