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Finding the Fourth Proportional to 649,222.64, 978,265.37 and 533,486.60

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Solution

The fourth proportional to 649,222.64, 978,265.37 and 533,486.60 is: 803,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,222.64 : 978,265.37 = 533,486.60 : x
  2. Step 2: Convert to fraction form
    649,222.64/978,265.37 = 533,486.60/x
  3. Step 3: Cross multiply
    649,222.64x = 978,265.37 × 533,486.60
  4. Step 4: Simplify right side
    649,222.64x = 521,891,458,580.28
  5. Step 5: Solve for x
    x = 521,891,458,580.28/649,222.64
  6. Step 6: Final answer
    x = 803,871.32

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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.