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Finding the Fourth Proportional to 510,597.66, 765,838.08 and 136,649.82

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Solution

The fourth proportional to 510,597.66, 765,838.08 and 136,649.82 is: 204,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,597.66 : 765,838.08 = 136,649.82 : x
  2. Step 2: Convert to fraction form
    510,597.66/765,838.08 = 136,649.82/x
  3. Step 3: Cross multiply
    510,597.66x = 765,838.08 × 136,649.82
  4. Step 4: Simplify right side
    510,597.66x = 104,651,635,781.15
  5. Step 5: Solve for x
    x = 104,651,635,781.15/510,597.66
  6. Step 6: Final answer
    x = 204,959.10

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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.