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Finding the Fourth Proportional to 456,502.20, 685,314.90 and 288,022.20

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Solution

The fourth proportional to 456,502.20, 685,314.90 and 288,022.20 is: 432,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,502.20 : 685,314.90 = 288,022.20 : x
  2. Step 2: Convert to fraction form
    456,502.20/685,314.90 = 288,022.20/x
  3. Step 3: Cross multiply
    456,502.20x = 685,314.90 × 288,022.20
  4. Step 4: Simplify right side
    456,502.20x = 197,385,905,190.78
  5. Step 5: Solve for x
    x = 197,385,905,190.78/456,502.20
  6. Step 6: Final answer
    x = 432,387.63

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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.