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Finding the Fourth Proportional to 498,568.34, 688,014.91 and 304,961.81

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Solution

The fourth proportional to 498,568.34, 688,014.91 and 304,961.81 is: 420,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,568.34 : 688,014.91 = 304,961.81 : x
  2. Step 2: Convert to fraction form
    498,568.34/688,014.91 = 304,961.81/x
  3. Step 3: Cross multiply
    498,568.34x = 688,014.91 × 304,961.81
  4. Step 4: Simplify right side
    498,568.34x = 209,818,267,295.70
  5. Step 5: Solve for x
    x = 209,818,267,295.70/498,568.34
  6. Step 6: Final answer
    x = 420,841.54

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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.