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Finding the Fourth Proportional to 308,639.20, 462,302.70 and 256,151.20

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Solution

The fourth proportional to 308,639.20, 462,302.70 and 256,151.20 is: 383,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,639.20 : 462,302.70 = 256,151.20 : x
  2. Step 2: Convert to fraction form
    308,639.20/462,302.70 = 256,151.20/x
  3. Step 3: Cross multiply
    308,639.20x = 462,302.70 × 256,151.20
  4. Step 4: Simplify right side
    308,639.20x = 118,419,391,368.24
  5. Step 5: Solve for x
    x = 118,419,391,368.24/308,639.20
  6. Step 6: Final answer
    x = 383,682.28

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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.