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Finding the Fourth Proportional to 509,444.60, 764,120.04 and 172,446.74

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Solution

The fourth proportional to 509,444.60, 764,120.04 and 172,446.74 is: 258,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,444.60 : 764,120.04 = 172,446.74 : x
  2. Step 2: Convert to fraction form
    509,444.60/764,120.04 = 172,446.74/x
  3. Step 3: Cross multiply
    509,444.60x = 764,120.04 × 172,446.74
  4. Step 4: Simplify right side
    509,444.60x = 131,770,009,866.67
  5. Step 5: Solve for x
    x = 131,770,009,866.67/509,444.60
  6. Step 6: Final answer
    x = 258,654.25

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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.