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Finding the Fourth Proportional to 312,171.40, 468,209.58 and 101,809

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Solution

The fourth proportional to 312,171.40, 468,209.58 and 101,809 is: 152,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,171.40 : 468,209.58 = 101,809 : x
  2. Step 2: Convert to fraction form
    312,171.40/468,209.58 = 101,809/x
  3. Step 3: Cross multiply
    312,171.40x = 468,209.58 × 101,809
  4. Step 4: Simplify right side
    312,171.40x = 47,667,949,130.22
  5. Step 5: Solve for x
    x = 47,667,949,130.22/312,171.40
  6. Step 6: Final answer
    x = 152,698.00

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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.