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Finding the Fourth Proportional to 353,061, 487,234.98 and 200,095.40

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Solution

The fourth proportional to 353,061, 487,234.98 and 200,095.40 is: 276,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,061 : 487,234.98 = 200,095.40 : x
  2. Step 2: Convert to fraction form
    353,061/487,234.98 = 200,095.40/x
  3. Step 3: Cross multiply
    353,061x = 487,234.98 × 200,095.40
  4. Step 4: Simplify right side
    353,061x = 97,493,478,217.09
  5. Step 5: Solve for x
    x = 97,493,478,217.09/353,061
  6. Step 6: Final answer
    x = 276,137.77

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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.