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Finding the Fourth Proportional to 498,696.84, 688,121.28 and 283,840.56

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Solution

The fourth proportional to 498,696.84, 688,121.28 and 283,840.56 is: 391,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,696.84 : 688,121.28 = 283,840.56 : x
  2. Step 2: Convert to fraction form
    498,696.84/688,121.28 = 283,840.56/x
  3. Step 3: Cross multiply
    498,696.84x = 688,121.28 × 283,840.56
  4. Step 4: Simplify right side
    498,696.84x = 195,316,729,463.12
  5. Step 5: Solve for x
    x = 195,316,729,463.12/498,696.84
  6. Step 6: Final answer
    x = 391,654.24

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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.