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Finding the Fourth Proportional to 410,652.45, 615,971.39 and 210,855.42

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Solution

The fourth proportional to 410,652.45, 615,971.39 and 210,855.42 is: 316,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,652.45 : 615,971.39 = 210,855.42 : x
  2. Step 2: Convert to fraction form
    410,652.45/615,971.39 = 210,855.42/x
  3. Step 3: Cross multiply
    410,652.45x = 615,971.39 × 210,855.42
  4. Step 4: Simplify right side
    410,652.45x = 129,880,905,092.16
  5. Step 5: Solve for x
    x = 129,880,905,092.16/410,652.45
  6. Step 6: Final answer
    x = 316,279.39

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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.