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Finding the Fourth Proportional to 499,654.89, 689,506.56 and 284,864.13

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Solution

The fourth proportional to 499,654.89, 689,506.56 and 284,864.13 is: 393,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,654.89 : 689,506.56 = 284,864.13 : x
  2. Step 2: Convert to fraction form
    499,654.89/689,506.56 = 284,864.13/x
  3. Step 3: Cross multiply
    499,654.89x = 689,506.56 × 284,864.13
  4. Step 4: Simplify right side
    499,654.89x = 196,415,686,343.69
  5. Step 5: Solve for x
    x = 196,415,686,343.69/499,654.89
  6. Step 6: Final answer
    x = 393,102.70

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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.