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Finding the Fourth Proportional to 499,398.78, 689,001.51 and 284,386.38

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Solution

The fourth proportional to 499,398.78, 689,001.51 and 284,386.38 is: 392,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,398.78 : 689,001.51 = 284,386.38 : x
  2. Step 2: Convert to fraction form
    499,398.78/689,001.51 = 284,386.38/x
  3. Step 3: Cross multiply
    499,398.78x = 689,001.51 × 284,386.38
  4. Step 4: Simplify right side
    499,398.78x = 195,942,645,243.43
  5. Step 5: Solve for x
    x = 195,942,645,243.43/499,398.78
  6. Step 6: Final answer
    x = 392,357.08

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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.