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Finding the Fourth Proportional to 498,273.46, 688,009.12 and 401,168.82

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Solution

The fourth proportional to 498,273.46, 688,009.12 and 401,168.82 is: 553,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,273.46 : 688,009.12 = 401,168.82 : x
  2. Step 2: Convert to fraction form
    498,273.46/688,009.12 = 401,168.82/x
  3. Step 3: Cross multiply
    498,273.46x = 688,009.12 × 401,168.82
  4. Step 4: Simplify right side
    498,273.46x = 276,007,806,819.64
  5. Step 5: Solve for x
    x = 276,007,806,819.64/498,273.46
  6. Step 6: Final answer
    x = 553,928.37

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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.