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Finding the Fourth Proportional to 586,398.12, 809,223.94 and 331,749.32

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Solution

The fourth proportional to 586,398.12, 809,223.94 and 331,749.32 is: 457,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,398.12 : 809,223.94 = 331,749.32 : x
  2. Step 2: Convert to fraction form
    586,398.12/809,223.94 = 331,749.32/x
  3. Step 3: Cross multiply
    586,398.12x = 809,223.94 × 331,749.32
  4. Step 4: Simplify right side
    586,398.12x = 268,459,491,822.72
  5. Step 5: Solve for x
    x = 268,459,491,822.72/586,398.12
  6. Step 6: Final answer
    x = 457,810.97

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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.