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Finding the Fourth Proportional to 381,312.55, 571,804.80 and 191,699.65

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Solution

The fourth proportional to 381,312.55, 571,804.80 and 191,699.65 is: 287,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,312.55 : 571,804.80 = 191,699.65 : x
  2. Step 2: Convert to fraction form
    381,312.55/571,804.80 = 191,699.65/x
  3. Step 3: Cross multiply
    381,312.55x = 571,804.80 × 191,699.65
  4. Step 4: Simplify right side
    381,312.55x = 109,614,780,028.32
  5. Step 5: Solve for x
    x = 109,614,780,028.32/381,312.55
  6. Step 6: Final answer
    x = 287,467.01

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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.