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Finding the Fourth Proportional to 499,590.36, 689,417.61 and 284,799.60

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Solution

The fourth proportional to 499,590.36, 689,417.61 and 284,799.60 is: 393,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,590.36 : 689,417.61 = 284,799.60 : x
  2. Step 2: Convert to fraction form
    499,590.36/689,417.61 = 284,799.60/x
  3. Step 3: Cross multiply
    499,590.36x = 689,417.61 × 284,799.60
  4. Step 4: Simplify right side
    499,590.36x = 196,345,859,560.96
  5. Step 5: Solve for x
    x = 196,345,859,560.96/499,590.36
  6. Step 6: Final answer
    x = 393,013.71

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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.