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Finding the Fourth Proportional to 308,117.70, 462,176.55 and 189,404.10

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Solution

The fourth proportional to 308,117.70, 462,176.55 and 189,404.10 is: 284,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,117.70 : 462,176.55 = 189,404.10 : x
  2. Step 2: Convert to fraction form
    308,117.70/462,176.55 = 189,404.10/x
  3. Step 3: Cross multiply
    308,117.70x = 462,176.55 × 189,404.10
  4. Step 4: Simplify right side
    308,117.70x = 87,538,133,493.86
  5. Step 5: Solve for x
    x = 87,538,133,493.86/308,117.70
  6. Step 6: Final answer
    x = 284,106.15

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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.