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Finding the Fourth Proportional to 586,317.89, 809,121.69 and 331,663.61

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Solution

The fourth proportional to 586,317.89, 809,121.69 and 331,663.61 is: 457,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,317.89 : 809,121.69 = 331,663.61 : x
  2. Step 2: Convert to fraction form
    586,317.89/809,121.69 = 331,663.61/x
  3. Step 3: Cross multiply
    586,317.89x = 809,121.69 × 331,663.61
  4. Step 4: Simplify right side
    586,317.89x = 268,356,222,657.51
  5. Step 5: Solve for x
    x = 268,356,222,657.51/586,317.89
  6. Step 6: Final answer
    x = 457,697.48

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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.