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Finding the Fourth Proportional to 381,765.61, 526,842.88 and 209,699.48

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Solution

The fourth proportional to 381,765.61, 526,842.88 and 209,699.48 is: 289,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,765.61 : 526,842.88 = 209,699.48 : x
  2. Step 2: Convert to fraction form
    381,765.61/526,842.88 = 209,699.48/x
  3. Step 3: Cross multiply
    381,765.61x = 526,842.88 × 209,699.48
  4. Step 4: Simplify right side
    381,765.61x = 110,478,679,950.12
  5. Step 5: Solve for x
    x = 110,478,679,950.12/381,765.61
  6. Step 6: Final answer
    x = 289,388.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.