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Finding the Fourth Proportional to 413,653.28, 620,483.12 and 226,562.72

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Solution

The fourth proportional to 413,653.28, 620,483.12 and 226,562.72 is: 339,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,653.28 : 620,483.12 = 226,562.72 : x
  2. Step 2: Convert to fraction form
    413,653.28/620,483.12 = 226,562.72/x
  3. Step 3: Cross multiply
    413,653.28x = 620,483.12 × 226,562.72
  4. Step 4: Simplify right side
    413,653.28x = 140,578,343,381.29
  5. Step 5: Solve for x
    x = 140,578,343,381.29/413,653.28
  6. Step 6: Final answer
    x = 339,845.83

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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.