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Finding the Fourth Proportional to 435,645.80, 653,123.10 and 238,653.80

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Solution

The fourth proportional to 435,645.80, 653,123.10 and 238,653.80 is: 357,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,645.80 : 653,123.10 = 238,653.80 : x
  2. Step 2: Convert to fraction form
    435,645.80/653,123.10 = 238,653.80/x
  3. Step 3: Cross multiply
    435,645.80x = 653,123.10 × 238,653.80
  4. Step 4: Simplify right side
    435,645.80x = 155,870,309,682.78
  5. Step 5: Solve for x
    x = 155,870,309,682.78/435,645.80
  6. Step 6: Final answer
    x = 357,791.37

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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.