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Finding the Fourth Proportional to 320,172.42, 479,876.91 and 149,164.74

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Solution

The fourth proportional to 320,172.42, 479,876.91 and 149,164.74 is: 223,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,172.42 : 479,876.91 = 149,164.74 : x
  2. Step 2: Convert to fraction form
    320,172.42/479,876.91 = 149,164.74/x
  3. Step 3: Cross multiply
    320,172.42x = 479,876.91 × 149,164.74
  4. Step 4: Simplify right side
    320,172.42x = 71,580,714,512.15
  5. Step 5: Solve for x
    x = 71,580,714,512.15/320,172.42
  6. Step 6: Final answer
    x = 223,569.27

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1.5x scale

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.