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Finding the Fourth Proportional to 256,802.16, 384,654.60 and 208,553.31

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Solution

The fourth proportional to 256,802.16, 384,654.60 and 208,553.31 is: 312,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,802.16 : 384,654.60 = 208,553.31 : x
  2. Step 2: Convert to fraction form
    256,802.16/384,654.60 = 208,553.31/x
  3. Step 3: Cross multiply
    256,802.16x = 384,654.60 × 208,553.31
  4. Step 4: Simplify right side
    256,802.16x = 80,220,990,036.73
  5. Step 5: Solve for x
    x = 80,220,990,036.73/256,802.16
  6. Step 6: Final answer
    x = 312,384.41

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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.