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Finding the Fourth Proportional to 405,341.68, 608,012.30 and 105,819.68

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Solution

The fourth proportional to 405,341.68, 608,012.30 and 105,819.68 is: 158,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,341.68 : 608,012.30 = 105,819.68 : x
  2. Step 2: Convert to fraction form
    405,341.68/608,012.30 = 105,819.68/x
  3. Step 3: Cross multiply
    405,341.68x = 608,012.30 × 105,819.68
  4. Step 4: Simplify right side
    405,341.68x = 64,339,667,022.06
  5. Step 5: Solve for x
    x = 64,339,667,022.06/405,341.68
  6. Step 6: Final answer
    x = 158,729.46

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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.