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Finding the Fourth Proportional to 353,786.56, 530,678.64 and 143,424

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Solution

The fourth proportional to 353,786.56, 530,678.64 and 143,424 is: 215,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,786.56 : 530,678.64 = 143,424 : x
  2. Step 2: Convert to fraction form
    353,786.56/530,678.64 = 143,424/x
  3. Step 3: Cross multiply
    353,786.56x = 530,678.64 × 143,424
  4. Step 4: Simplify right side
    353,786.56x = 76,112,053,263.36
  5. Step 5: Solve for x
    x = 76,112,053,263.36/353,786.56
  6. Step 6: Final answer
    x = 215,135.51

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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.