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Finding the Fourth Proportional to 405,711.40, 608,624.70 and 125,199.40

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Solution

The fourth proportional to 405,711.40, 608,624.70 and 125,199.40 is: 187,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,711.40 : 608,624.70 = 125,199.40 : x
  2. Step 2: Convert to fraction form
    405,711.40/608,624.70 = 125,199.40/x
  3. Step 3: Cross multiply
    405,711.40x = 608,624.70 × 125,199.40
  4. Step 4: Simplify right side
    405,711.40x = 76,199,447,265.18
  5. Step 5: Solve for x
    x = 76,199,447,265.18/405,711.40
  6. Step 6: Final answer
    x = 187,816.87

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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.