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Finding the Fourth Proportional to 280,628.73, 420,943.10 and 103,058.91

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Solution

The fourth proportional to 280,628.73, 420,943.10 and 103,058.91 is: 154,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,628.73 : 420,943.10 = 103,058.91 : x
  2. Step 2: Convert to fraction form
    280,628.73/420,943.10 = 103,058.91/x
  3. Step 3: Cross multiply
    280,628.73x = 420,943.10 × 103,058.91
  4. Step 4: Simplify right side
    280,628.73x = 43,381,936,542.73
  5. Step 5: Solve for x
    x = 43,381,936,542.73/280,628.73
  6. Step 6: Final answer
    x = 154,588.37

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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.