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Finding the Fourth Proportional to 470,157.24, 705,231 and 115,173.12

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Solution

The fourth proportional to 470,157.24, 705,231 and 115,173.12 is: 172,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,157.24 : 705,231 = 115,173.12 : x
  2. Step 2: Convert to fraction form
    470,157.24/705,231 = 115,173.12/x
  3. Step 3: Cross multiply
    470,157.24x = 705,231 × 115,173.12
  4. Step 4: Simplify right side
    470,157.24x = 81,223,654,590.72
  5. Step 5: Solve for x
    x = 81,223,654,590.72/470,157.24
  6. Step 6: Final answer
    x = 172,758.49

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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.