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Finding the Fourth Proportional to 613,448.62, 919,861.71 and 280,739.50

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Solution

The fourth proportional to 613,448.62, 919,861.71 and 280,739.50 is: 420,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,448.62 : 919,861.71 = 280,739.50 : x
  2. Step 2: Convert to fraction form
    613,448.62/919,861.71 = 280,739.50/x
  3. Step 3: Cross multiply
    613,448.62x = 919,861.71 × 280,739.50
  4. Step 4: Simplify right side
    613,448.62x = 258,241,516,534.55
  5. Step 5: Solve for x
    x = 258,241,516,534.55/613,448.62
  6. Step 6: Final answer
    x = 420,966.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.