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Finding the Fourth Proportional to 409,960.60, 615,056.10 and 199,605.40

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Solution

The fourth proportional to 409,960.60, 615,056.10 and 199,605.40 is: 299,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,960.60 : 615,056.10 = 199,605.40 : x
  2. Step 2: Convert to fraction form
    409,960.60/615,056.10 = 199,605.40/x
  3. Step 3: Cross multiply
    409,960.60x = 615,056.10 × 199,605.40
  4. Step 4: Simplify right side
    409,960.60x = 122,768,518,862.94
  5. Step 5: Solve for x
    x = 122,768,518,862.94/409,960.60
  6. Step 6: Final answer
    x = 299,464.19

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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.