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Finding the Fourth Proportional to 384,873.80, 578,001.90 and 279,811.40

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Solution

The fourth proportional to 384,873.80, 578,001.90 and 279,811.40 is: 420,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,873.80 : 578,001.90 = 279,811.40 : x
  2. Step 2: Convert to fraction form
    384,873.80/578,001.90 = 279,811.40/x
  3. Step 3: Cross multiply
    384,873.80x = 578,001.90 × 279,811.40
  4. Step 4: Simplify right side
    384,873.80x = 161,731,520,841.66
  5. Step 5: Solve for x
    x = 161,731,520,841.66/384,873.80
  6. Step 6: Final answer
    x = 420,219.62

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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.