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Finding the Fourth Proportional to 293,539, 405,088.86 and 159,403

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Solution

The fourth proportional to 293,539, 405,088.86 and 159,403 is: 219,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,539 : 405,088.86 = 159,403 : x
  2. Step 2: Convert to fraction form
    293,539/405,088.86 = 159,403/x
  3. Step 3: Cross multiply
    293,539x = 405,088.86 × 159,403
  4. Step 4: Simplify right side
    293,539x = 64,572,379,550.58
  5. Step 5: Solve for x
    x = 64,572,379,550.58/293,539
  6. Step 6: Final answer
    x = 219,978.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.