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Finding the Fourth Proportional to 399,783.98, 599,678.54 and 159,917.92

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Solution

The fourth proportional to 399,783.98, 599,678.54 and 159,917.92 is: 239,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,783.98 : 599,678.54 = 159,917.92 : x
  2. Step 2: Convert to fraction form
    399,783.98/599,678.54 = 159,917.92/x
  3. Step 3: Cross multiply
    399,783.98x = 599,678.54 × 159,917.92
  4. Step 4: Simplify right side
    399,783.98x = 95,899,341,787.04
  5. Step 5: Solve for x
    x = 95,899,341,787.04/399,783.98
  6. Step 6: Final answer
    x = 239,877.90

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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.