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Finding the Fourth Proportional to 510,097.02, 703,859.58 and 306,104.58

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Solution

The fourth proportional to 510,097.02, 703,859.58 and 306,104.58 is: 422,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,097.02 : 703,859.58 = 306,104.58 : x
  2. Step 2: Convert to fraction form
    510,097.02/703,859.58 = 306,104.58/x
  3. Step 3: Cross multiply
    510,097.02x = 703,859.58 × 306,104.58
  4. Step 4: Simplify right side
    510,097.02x = 215,454,641,114.88
  5. Step 5: Solve for x
    x = 215,454,641,114.88/510,097.02
  6. Step 6: Final answer
    x = 422,379.73

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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.