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Finding the Fourth Proportional to 405,765.98, 608,530 and 152,864

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Solution

The fourth proportional to 405,765.98, 608,530 and 152,864 is: 229,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,765.98 : 608,530 = 152,864 : x
  2. Step 2: Convert to fraction form
    405,765.98/608,530 = 152,864/x
  3. Step 3: Cross multiply
    405,765.98x = 608,530 × 152,864
  4. Step 4: Simplify right side
    405,765.98x = 93,022,329,920
  5. Step 5: Solve for x
    x = 93,022,329,920/405,765.98
  6. Step 6: Final answer
    x = 229,251.18

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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.