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Finding the Fourth Proportional to 438,285.66, 657,832.63 and 222,295.98

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Solution

The fourth proportional to 438,285.66, 657,832.63 and 222,295.98 is: 333,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,285.66 : 657,832.63 = 222,295.98 : x
  2. Step 2: Convert to fraction form
    438,285.66/657,832.63 = 222,295.98/x
  3. Step 3: Cross multiply
    438,285.66x = 657,832.63 × 222,295.98
  4. Step 4: Simplify right side
    438,285.66x = 146,233,548,050.35
  5. Step 5: Solve for x
    x = 146,233,548,050.35/438,285.66
  6. Step 6: Final answer
    x = 333,648.94

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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.