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Finding the Fourth Proportional to 586,371.96, 809,148.69 and 331,739.55

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Solution

The fourth proportional to 586,371.96, 809,148.69 and 331,739.55 is: 457,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,371.96 : 809,148.69 = 331,739.55 : x
  2. Step 2: Convert to fraction form
    586,371.96/809,148.69 = 331,739.55/x
  3. Step 3: Cross multiply
    586,371.96x = 809,148.69 × 331,739.55
  4. Step 4: Simplify right side
    586,371.96x = 268,426,622,303.69
  5. Step 5: Solve for x
    x = 268,426,622,303.69/586,371.96
  6. Step 6: Final answer
    x = 457,775.34

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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.