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Finding the Fourth Proportional to 381,539.09, 571,873.23 and 153,688.77

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Solution

The fourth proportional to 381,539.09, 571,873.23 and 153,688.77 is: 230,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,539.09 : 571,873.23 = 153,688.77 : x
  2. Step 2: Convert to fraction form
    381,539.09/571,873.23 = 153,688.77/x
  3. Step 3: Cross multiply
    381,539.09x = 571,873.23 × 153,688.77
  4. Step 4: Simplify right side
    381,539.09x = 87,890,493,314.63
  5. Step 5: Solve for x
    x = 87,890,493,314.63/381,539.09
  6. Step 6: Final answer
    x = 230,357.77

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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.