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Finding the Fourth Proportional to 321,025.86, 442,999.88 and 175,832.28

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Solution

The fourth proportional to 321,025.86, 442,999.88 and 175,832.28 is: 242,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,025.86 : 442,999.88 = 175,832.28 : x
  2. Step 2: Convert to fraction form
    321,025.86/442,999.88 = 175,832.28/x
  3. Step 3: Cross multiply
    321,025.86x = 442,999.88 × 175,832.28
  4. Step 4: Simplify right side
    321,025.86x = 77,893,676,416.32
  5. Step 5: Solve for x
    x = 77,893,676,416.32/321,025.86
  6. Step 6: Final answer
    x = 242,639.88

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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.