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Finding the Fourth Proportional to 381,563.60, 571,567.80 and 194,680.40

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Solution

The fourth proportional to 381,563.60, 571,567.80 and 194,680.40 is: 291,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,563.60 : 571,567.80 = 194,680.40 : x
  2. Step 2: Convert to fraction form
    381,563.60/571,567.80 = 194,680.40/x
  3. Step 3: Cross multiply
    381,563.60x = 571,567.80 × 194,680.40
  4. Step 4: Simplify right side
    381,563.60x = 111,273,047,931.12
  5. Step 5: Solve for x
    x = 111,273,047,931.12/381,563.60
  6. Step 6: Final answer
    x = 291,623.85

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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.