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Finding the Fourth Proportional to 522,205.84, 783,181.59 and 218,435.79

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Solution

The fourth proportional to 522,205.84, 783,181.59 and 218,435.79 is: 327,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,205.84 : 783,181.59 = 218,435.79 : x
  2. Step 2: Convert to fraction form
    522,205.84/783,181.59 = 218,435.79/x
  3. Step 3: Cross multiply
    522,205.84x = 783,181.59 × 218,435.79
  4. Step 4: Simplify right side
    522,205.84x = 171,074,889,325.11
  5. Step 5: Solve for x
    x = 171,074,889,325.11/522,205.84
  6. Step 6: Final answer
    x = 327,600.49

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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.