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Finding the Fourth Proportional to 509,443.60, 764,118.54 and 172,445.73

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Solution

The fourth proportional to 509,443.60, 764,118.54 and 172,445.73 is: 258,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,443.60 : 764,118.54 = 172,445.73 : x
  2. Step 2: Convert to fraction form
    509,443.60/764,118.54 = 172,445.73/x
  3. Step 3: Cross multiply
    509,443.60x = 764,118.54 × 172,445.73
  4. Step 4: Simplify right side
    509,443.60x = 131,768,980,037.52
  5. Step 5: Solve for x
    x = 131,768,980,037.52/509,443.60
  6. Step 6: Final answer
    x = 258,652.74

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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.