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Finding the Fourth Proportional to 328,213.44, 493,209.60 and 178,564.32

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Solution

The fourth proportional to 328,213.44, 493,209.60 and 178,564.32 is: 268,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,213.44 : 493,209.60 = 178,564.32 : x
  2. Step 2: Convert to fraction form
    328,213.44/493,209.60 = 178,564.32/x
  3. Step 3: Cross multiply
    328,213.44x = 493,209.60 × 178,564.32
  4. Step 4: Simplify right side
    328,213.44x = 88,069,636,841.47
  5. Step 5: Solve for x
    x = 88,069,636,841.47/328,213.44
  6. Step 6: Final answer
    x = 268,330.38

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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.