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Finding the Fourth Proportional to 510,080.94, 765,116.38 and 190,221.72

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Solution

The fourth proportional to 510,080.94, 765,116.38 and 190,221.72 is: 285,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,080.94 : 765,116.38 = 190,221.72 : x
  2. Step 2: Convert to fraction form
    510,080.94/765,116.38 = 190,221.72/x
  3. Step 3: Cross multiply
    510,080.94x = 765,116.38 × 190,221.72
  4. Step 4: Simplify right side
    510,080.94x = 145,541,753,803.77
  5. Step 5: Solve for x
    x = 145,541,753,803.77/510,080.94
  6. Step 6: Final answer
    x = 285,330.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.