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Finding the Fourth Proportional to 405,458.50, 608,189.91 and 109,970.50

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Solution

The fourth proportional to 405,458.50, 608,189.91 and 109,970.50 is: 164,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,458.50 : 608,189.91 = 109,970.50 : x
  2. Step 2: Convert to fraction form
    405,458.50/608,189.91 = 109,970.50/x
  3. Step 3: Cross multiply
    405,458.50x = 608,189.91 × 109,970.50
  4. Step 4: Simplify right side
    405,458.50x = 66,882,948,497.66
  5. Step 5: Solve for x
    x = 66,882,948,497.66/405,458.50
  6. Step 6: Final answer
    x = 164,956.34

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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.