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Finding the Fourth Proportional to 510,878.92, 705,012.90 and 284,524.42

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Solution

The fourth proportional to 510,878.92, 705,012.90 and 284,524.42 is: 392,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,878.92 : 705,012.90 = 284,524.42 : x
  2. Step 2: Convert to fraction form
    510,878.92/705,012.90 = 284,524.42/x
  3. Step 3: Cross multiply
    510,878.92x = 705,012.90 × 284,524.42
  4. Step 4: Simplify right side
    510,878.92x = 200,593,386,465.02
  5. Step 5: Solve for x
    x = 200,593,386,465.02/510,878.92
  6. Step 6: Final answer
    x = 392,643.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.