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Finding the Fourth Proportional to 505,294.22, 697,287.75 and 278,934.86

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Solution

The fourth proportional to 505,294.22, 697,287.75 and 278,934.86 is: 384,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,294.22 : 697,287.75 = 278,934.86 : x
  2. Step 2: Convert to fraction form
    505,294.22/697,287.75 = 278,934.86/x
  3. Step 3: Cross multiply
    505,294.22x = 697,287.75 × 278,934.86
  4. Step 4: Simplify right side
    505,294.22x = 194,497,860,925.97
  5. Step 5: Solve for x
    x = 194,497,860,925.97/505,294.22
  6. Step 6: Final answer
    x = 384,920.02

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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.