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Finding the Fourth Proportional to 490,209.50, 735,314.26 and 157,785.50

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Solution

The fourth proportional to 490,209.50, 735,314.26 and 157,785.50 is: 236,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,209.50 : 735,314.26 = 157,785.50 : x
  2. Step 2: Convert to fraction form
    490,209.50/735,314.26 = 157,785.50/x
  3. Step 3: Cross multiply
    490,209.50x = 735,314.26 × 157,785.50
  4. Step 4: Simplify right side
    490,209.50x = 116,021,928,171.23
  5. Step 5: Solve for x
    x = 116,021,928,171.23/490,209.50
  6. Step 6: Final answer
    x = 236,678.25

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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.