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Finding the Fourth Proportional to 510,152.58, 765,524.57 and 257,452.83

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Solution

The fourth proportional to 510,152.58, 765,524.57 and 257,452.83 is: 386,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,152.58 : 765,524.57 = 257,452.83 : x
  2. Step 2: Convert to fraction form
    510,152.58/765,524.57 = 257,452.83/x
  3. Step 3: Cross multiply
    510,152.58x = 765,524.57 × 257,452.83
  4. Step 4: Simplify right side
    510,152.58x = 197,086,466,981.03
  5. Step 5: Solve for x
    x = 197,086,466,981.03/510,152.58
  6. Step 6: Final answer
    x = 386,328.47

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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.