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Finding the Fourth Proportional to 529,063.82, 729,610.75 and 408,013.37

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Solution

The fourth proportional to 529,063.82, 729,610.75 and 408,013.37 is: 562,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,063.82 : 729,610.75 = 408,013.37 : x
  2. Step 2: Convert to fraction form
    529,063.82/729,610.75 = 408,013.37/x
  3. Step 3: Cross multiply
    529,063.82x = 729,610.75 × 408,013.37
  4. Step 4: Simplify right side
    529,063.82x = 297,690,943,229.77
  5. Step 5: Solve for x
    x = 297,690,943,229.77/529,063.82
  6. Step 6: Final answer
    x = 562,674.92

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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.