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Finding the Fourth Proportional to 510,118.38, 765,275.97 and 285,732.18

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Solution

The fourth proportional to 510,118.38, 765,275.97 and 285,732.18 is: 428,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,118.38 : 765,275.97 = 285,732.18 : x
  2. Step 2: Convert to fraction form
    510,118.38/765,275.97 = 285,732.18/x
  3. Step 3: Cross multiply
    510,118.38x = 765,275.97 × 285,732.18
  4. Step 4: Simplify right side
    510,118.38x = 218,663,971,209.72
  5. Step 5: Solve for x
    x = 218,663,971,209.72/510,118.38
  6. Step 6: Final answer
    x = 428,653.39

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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.