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Finding the Fourth Proportional to 412,665.88, 569,269.30 and 269,509.72

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Solution

The fourth proportional to 412,665.88, 569,269.30 and 269,509.72 is: 371,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,665.88 : 569,269.30 = 269,509.72 : x
  2. Step 2: Convert to fraction form
    412,665.88/569,269.30 = 269,509.72/x
  3. Step 3: Cross multiply
    412,665.88x = 569,269.30 × 269,509.72
  4. Step 4: Simplify right side
    412,665.88x = 153,423,609,647.60
  5. Step 5: Solve for x
    x = 153,423,609,647.60/412,665.88
  6. Step 6: Final answer
    x = 371,786.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.