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Finding the Fourth Proportional to 410,052.30, 615,078.45 and 405,905.10

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Solution

The fourth proportional to 410,052.30, 615,078.45 and 405,905.10 is: 608,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,052.30 : 615,078.45 = 405,905.10 : x
  2. Step 2: Convert to fraction form
    410,052.30/615,078.45 = 405,905.10/x
  3. Step 3: Cross multiply
    410,052.30x = 615,078.45 × 405,905.10
  4. Step 4: Simplify right side
    410,052.30x = 249,663,479,755.10
  5. Step 5: Solve for x
    x = 249,663,479,755.10/410,052.30
  6. Step 6: Final answer
    x = 608,857.65

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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.