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Finding the Fourth Proportional to 331,065.72, 456,816.20 and 208,539.05

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Solution

The fourth proportional to 331,065.72, 456,816.20 and 208,539.05 is: 287,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,065.72 : 456,816.20 = 208,539.05 : x
  2. Step 2: Convert to fraction form
    331,065.72/456,816.20 = 208,539.05/x
  3. Step 3: Cross multiply
    331,065.72x = 456,816.20 × 208,539.05
  4. Step 4: Simplify right side
    331,065.72x = 95,264,013,045.83
  5. Step 5: Solve for x
    x = 95,264,013,045.83/331,065.72
  6. Step 6: Final answer
    x = 287,749.55

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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.