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Finding the Fourth Proportional to 586,424.81, 809,260.77 and 331,776

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Solution

The fourth proportional to 586,424.81, 809,260.77 and 331,776 is: 457,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,424.81 : 809,260.77 = 331,776 : x
  2. Step 2: Convert to fraction form
    586,424.81/809,260.77 = 331,776/x
  3. Step 3: Cross multiply
    586,424.81x = 809,260.77 × 331,776
  4. Step 4: Simplify right side
    586,424.81x = 268,493,302,471.68
  5. Step 5: Solve for x
    x = 268,493,302,471.68/586,424.81
  6. Step 6: Final answer
    x = 457,847.79

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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.