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Finding the Fourth Proportional to 470,135.60, 705,131.40 and 154,593.20

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Solution

The fourth proportional to 470,135.60, 705,131.40 and 154,593.20 is: 231,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,135.60 : 705,131.40 = 154,593.20 : x
  2. Step 2: Convert to fraction form
    470,135.60/705,131.40 = 154,593.20/x
  3. Step 3: Cross multiply
    470,135.60x = 705,131.40 × 154,593.20
  4. Step 4: Simplify right side
    470,135.60x = 109,008,519,546.48
  5. Step 5: Solve for x
    x = 109,008,519,546.48/470,135.60
  6. Step 6: Final answer
    x = 231,866.12

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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.