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Finding the Fourth Proportional to 492,429.90, 738,723.82 and 208,123.22

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Solution

The fourth proportional to 492,429.90, 738,723.82 and 208,123.22 is: 312,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,429.90 : 738,723.82 = 208,123.22 : x
  2. Step 2: Convert to fraction form
    492,429.90/738,723.82 = 208,123.22/x
  3. Step 3: Cross multiply
    492,429.90x = 738,723.82 × 208,123.22
  4. Step 4: Simplify right side
    492,429.90x = 153,745,580,109.10
  5. Step 5: Solve for x
    x = 153,745,580,109.10/492,429.90
  6. Step 6: Final answer
    x = 312,218.21

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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.