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Finding the Fourth Proportional to 510,948.87, 705,109.64 and 296,213.42

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Solution

The fourth proportional to 510,948.87, 705,109.64 and 296,213.42 is: 408,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,948.87 : 705,109.64 = 296,213.42 : x
  2. Step 2: Convert to fraction form
    510,948.87/705,109.64 = 296,213.42/x
  3. Step 3: Cross multiply
    510,948.87x = 705,109.64 × 296,213.42
  4. Step 4: Simplify right side
    510,948.87x = 208,862,932,932.75
  5. Step 5: Solve for x
    x = 208,862,932,932.75/510,948.87
  6. Step 6: Final answer
    x = 408,774.63

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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.