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Finding the Fourth Proportional to 613,910.95, 920,557.61 and 357,825.80

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Solution

The fourth proportional to 613,910.95, 920,557.61 and 357,825.80 is: 536,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,910.95 : 920,557.61 = 357,825.80 : x
  2. Step 2: Convert to fraction form
    613,910.95/920,557.61 = 357,825.80/x
  3. Step 3: Cross multiply
    613,910.95x = 920,557.61 × 357,825.80
  4. Step 4: Simplify right side
    613,910.95x = 329,399,265,098.45
  5. Step 5: Solve for x
    x = 329,399,265,098.45/613,910.95
  6. Step 6: Final answer
    x = 536,558.71

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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.