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Finding the Fourth Proportional to 376,705, 519,898.98 and 217,729

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Solution

The fourth proportional to 376,705, 519,898.98 and 217,729 is: 300,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,705 : 519,898.98 = 217,729 : x
  2. Step 2: Convert to fraction form
    376,705/519,898.98 = 217,729/x
  3. Step 3: Cross multiply
    376,705x = 519,898.98 × 217,729
  4. Step 4: Simplify right side
    376,705x = 113,197,085,016.42
  5. Step 5: Solve for x
    x = 113,197,085,016.42/376,705
  6. Step 6: Final answer
    x = 300,492.65

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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.