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Finding the Fourth Proportional to 409,895.08, 615,051.66 and 276,495.78

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Solution

The fourth proportional to 409,895.08, 615,051.66 and 276,495.78 is: 414,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,895.08 : 615,051.66 = 276,495.78 : x
  2. Step 2: Convert to fraction form
    409,895.08/615,051.66 = 276,495.78/x
  3. Step 3: Cross multiply
    409,895.08x = 615,051.66 × 276,495.78
  4. Step 4: Simplify right side
    409,895.08x = 170,059,188,472.00
  5. Step 5: Solve for x
    x = 170,059,188,472.00/409,895.08
  6. Step 6: Final answer
    x = 414,884.68

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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.