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Finding the Fourth Proportional to 510,333.84, 765,502.82 and 206,733.74

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Solution

The fourth proportional to 510,333.84, 765,502.82 and 206,733.74 is: 310,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,333.84 : 765,502.82 = 206,733.74 : x
  2. Step 2: Convert to fraction form
    510,333.84/765,502.82 = 206,733.74/x
  3. Step 3: Cross multiply
    510,333.84x = 765,502.82 × 206,733.74
  4. Step 4: Simplify right side
    510,333.84x = 158,255,260,959.15
  5. Step 5: Solve for x
    x = 158,255,260,959.15/510,333.84
  6. Step 6: Final answer
    x = 310,101.44

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1.5x scale

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.