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Finding the Fourth Proportional to 381,141.55, 571,567.08 and 128,354.22

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Solution

The fourth proportional to 381,141.55, 571,567.08 and 128,354.22 is: 192,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,141.55 : 571,567.08 = 128,354.22 : x
  2. Step 2: Convert to fraction form
    381,141.55/571,567.08 = 128,354.22/x
  3. Step 3: Cross multiply
    381,141.55x = 571,567.08 × 128,354.22
  4. Step 4: Simplify right side
    381,141.55x = 73,363,047,212.41
  5. Step 5: Solve for x
    x = 73,363,047,212.41/381,141.55
  6. Step 6: Final answer
    x = 192,482.42

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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.