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Finding the Fourth Proportional to 470,069.20, 705,217.20 and 154,509.40

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Solution

The fourth proportional to 470,069.20, 705,217.20 and 154,509.40 is: 231,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,069.20 : 705,217.20 = 154,509.40 : x
  2. Step 2: Convert to fraction form
    470,069.20/705,217.20 = 154,509.40/x
  3. Step 3: Cross multiply
    470,069.20x = 705,217.20 × 154,509.40
  4. Step 4: Simplify right side
    470,069.20x = 108,962,686,441.68
  5. Step 5: Solve for x
    x = 108,962,686,441.68/470,069.20
  6. Step 6: Final answer
    x = 231,801.37

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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.