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Finding the Fourth Proportional to 430,896.10, 644,808.15 and 273,200.10

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Solution

The fourth proportional to 430,896.10, 644,808.15 and 273,200.10 is: 408,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,896.10 : 644,808.15 = 273,200.10 : x
  2. Step 2: Convert to fraction form
    430,896.10/644,808.15 = 273,200.10/x
  3. Step 3: Cross multiply
    430,896.10x = 644,808.15 × 273,200.10
  4. Step 4: Simplify right side
    430,896.10x = 176,161,651,060.82
  5. Step 5: Solve for x
    x = 176,161,651,060.82/430,896.10
  6. Step 6: Final answer
    x = 408,826.28

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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.