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Finding the Fourth Proportional to 499,648.98, 689,498.28 and 284,858.22

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Solution

The fourth proportional to 499,648.98, 689,498.28 and 284,858.22 is: 393,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,648.98 : 689,498.28 = 284,858.22 : x
  2. Step 2: Convert to fraction form
    499,648.98/689,498.28 = 284,858.22/x
  3. Step 3: Cross multiply
    499,648.98x = 689,498.28 × 284,858.22
  4. Step 4: Simplify right side
    499,648.98x = 196,409,252,733.86
  5. Step 5: Solve for x
    x = 196,409,252,733.86/499,648.98
  6. Step 6: Final answer
    x = 393,094.47

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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.