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Finding the Fourth Proportional to 610,744.80, 842,735.76 and 349,081.20

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Solution

The fourth proportional to 610,744.80, 842,735.76 and 349,081.20 is: 481,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,744.80 : 842,735.76 = 349,081.20 : x
  2. Step 2: Convert to fraction form
    610,744.80/842,735.76 = 349,081.20/x
  3. Step 3: Cross multiply
    610,744.80x = 842,735.76 × 349,081.20
  4. Step 4: Simplify right side
    610,744.80x = 294,183,210,383.71
  5. Step 5: Solve for x
    x = 294,183,210,383.71/610,744.80
  6. Step 6: Final answer
    x = 481,679.44

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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.