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Finding the Fourth Proportional to 522,486.13, 783,951.11 and 285,552.02

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Solution

The fourth proportional to 522,486.13, 783,951.11 and 285,552.02 is: 428,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,486.13 : 783,951.11 = 285,552.02 : x
  2. Step 2: Convert to fraction form
    522,486.13/783,951.11 = 285,552.02/x
  3. Step 3: Cross multiply
    522,486.13x = 783,951.11 × 285,552.02
  4. Step 4: Simplify right side
    522,486.13x = 223,858,823,041.74
  5. Step 5: Solve for x
    x = 223,858,823,041.74/522,486.13
  6. Step 6: Final answer
    x = 428,449.31

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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.