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Finding the Fourth Proportional to 421,057.52, 581,058.78 and 239,769.50

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Solution

The fourth proportional to 421,057.52, 581,058.78 and 239,769.50 is: 330,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,057.52 : 581,058.78 = 239,769.50 : x
  2. Step 2: Convert to fraction form
    421,057.52/581,058.78 = 239,769.50/x
  3. Step 3: Cross multiply
    421,057.52x = 581,058.78 × 239,769.50
  4. Step 4: Simplify right side
    421,057.52x = 139,320,173,151.21
  5. Step 5: Solve for x
    x = 139,320,173,151.21/421,057.52
  6. Step 6: Final answer
    x = 330,881.57

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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.