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Finding the Fourth Proportional to 499,718.88, 689,530.32 and 284,862.96

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Solution

The fourth proportional to 499,718.88, 689,530.32 and 284,862.96 is: 393,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,718.88 : 689,530.32 = 284,862.96 : x
  2. Step 2: Convert to fraction form
    499,718.88/689,530.32 = 284,862.96/x
  3. Step 3: Cross multiply
    499,718.88x = 689,530.32 × 284,862.96
  4. Step 4: Simplify right side
    499,718.88x = 196,421,647,964.95
  5. Step 5: Solve for x
    x = 196,421,647,964.95/499,718.88
  6. Step 6: Final answer
    x = 393,064.29

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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.