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Finding the Fourth Proportional to 575,078.40, 862,790.40 and 409,190.40

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Solution

The fourth proportional to 575,078.40, 862,790.40 and 409,190.40 is: 613,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,078.40 : 862,790.40 = 409,190.40 : x
  2. Step 2: Convert to fraction form
    575,078.40/862,790.40 = 409,190.40/x
  3. Step 3: Cross multiply
    575,078.40x = 862,790.40 × 409,190.40
  4. Step 4: Simplify right side
    575,078.40x = 353,045,548,892.16
  5. Step 5: Solve for x
    x = 353,045,548,892.16/575,078.40
  6. Step 6: Final answer
    x = 613,908.55

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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.