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Finding the Fourth Proportional to 435,406.56, 653,351.76 and 235,724

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Solution

The fourth proportional to 435,406.56, 653,351.76 and 235,724 is: 353,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,406.56 : 653,351.76 = 235,724 : x
  2. Step 2: Convert to fraction form
    435,406.56/653,351.76 = 235,724/x
  3. Step 3: Cross multiply
    435,406.56x = 653,351.76 × 235,724
  4. Step 4: Simplify right side
    435,406.56x = 154,010,690,274.24
  5. Step 5: Solve for x
    x = 154,010,690,274.24/435,406.56
  6. Step 6: Final answer
    x = 353,716.97

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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.