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Finding the Fourth Proportional to 470,647.40, 705,819.42 and 155,029.16

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Solution

The fourth proportional to 470,647.40, 705,819.42 and 155,029.16 is: 232,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,647.40 : 705,819.42 = 155,029.16 : x
  2. Step 2: Convert to fraction form
    470,647.40/705,819.42 = 155,029.16/x
  3. Step 3: Cross multiply
    470,647.40x = 705,819.42 × 155,029.16
  4. Step 4: Simplify right side
    470,647.40x = 109,422,591,794.29
  5. Step 5: Solve for x
    x = 109,422,591,794.29/470,647.40
  6. Step 6: Final answer
    x = 232,493.78

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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.