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Finding the Fourth Proportional to 243,840.72, 335,752.52 and 213,456

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Solution

The fourth proportional to 243,840.72, 335,752.52 and 213,456 is: 293,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,840.72 : 335,752.52 = 213,456 : x
  2. Step 2: Convert to fraction form
    243,840.72/335,752.52 = 213,456/x
  3. Step 3: Cross multiply
    243,840.72x = 335,752.52 × 213,456
  4. Step 4: Simplify right side
    243,840.72x = 71,668,389,909.12
  5. Step 5: Solve for x
    x = 71,668,389,909.12/243,840.72
  6. Step 6: Final answer
    x = 293,914.77

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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.