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Finding the Fourth Proportional to 470,256.84, 705,375.54 and 115,272.72

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Solution

The fourth proportional to 470,256.84, 705,375.54 and 115,272.72 is: 172,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,256.84 : 705,375.54 = 115,272.72 : x
  2. Step 2: Convert to fraction form
    470,256.84/705,375.54 = 115,272.72/x
  3. Step 3: Cross multiply
    470,256.84x = 705,375.54 × 115,272.72
  4. Step 4: Simplify right side
    470,256.84x = 81,310,557,117.27
  5. Step 5: Solve for x
    x = 81,310,557,117.27/470,256.84
  6. Step 6: Final answer
    x = 172,906.70

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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.