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Finding the Fourth Proportional to 624,281, 861,507.78 and 356,009

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Solution

The fourth proportional to 624,281, 861,507.78 and 356,009 is: 491,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,281 : 861,507.78 = 356,009 : x
  2. Step 2: Convert to fraction form
    624,281/861,507.78 = 356,009/x
  3. Step 3: Cross multiply
    624,281x = 861,507.78 × 356,009
  4. Step 4: Simplify right side
    624,281x = 306,704,523,250.02
  5. Step 5: Solve for x
    x = 306,704,523,250.02/624,281
  6. Step 6: Final answer
    x = 491,292.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.