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Finding the Fourth Proportional to 421,057.04, 581,058.09 and 239,769

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Solution

The fourth proportional to 421,057.04, 581,058.09 and 239,769 is: 330,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,057.04 : 581,058.09 = 239,769 : x
  2. Step 2: Convert to fraction form
    421,057.04/581,058.09 = 239,769/x
  3. Step 3: Cross multiply
    421,057.04x = 581,058.09 × 239,769
  4. Step 4: Simplify right side
    421,057.04x = 139,319,717,181.21
  5. Step 5: Solve for x
    x = 139,319,717,181.21/421,057.04
  6. Step 6: Final answer
    x = 330,880.87

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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.