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Finding the Fourth Proportional to 505,217.26, 697,199.88 and 278,862.82

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Solution

The fourth proportional to 505,217.26, 697,199.88 and 278,862.82 is: 384,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,217.26 : 697,199.88 = 278,862.82 : x
  2. Step 2: Convert to fraction form
    505,217.26/697,199.88 = 278,862.82/x
  3. Step 3: Cross multiply
    505,217.26x = 697,199.88 × 278,862.82
  4. Step 4: Simplify right side
    505,217.26x = 194,423,124,640.46
  5. Step 5: Solve for x
    x = 194,423,124,640.46/505,217.26
  6. Step 6: Final answer
    x = 384,830.73

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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.