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Finding the Fourth Proportional to 529,134.32, 729,708.04 and 408,083.87

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Solution

The fourth proportional to 529,134.32, 729,708.04 and 408,083.87 is: 562,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,134.32 : 729,708.04 = 408,083.87 : x
  2. Step 2: Convert to fraction form
    529,134.32/729,708.04 = 408,083.87/x
  3. Step 3: Cross multiply
    529,134.32x = 729,708.04 × 408,083.87
  4. Step 4: Simplify right side
    529,134.32x = 297,782,083,267.69
  5. Step 5: Solve for x
    x = 297,782,083,267.69/529,134.32
  6. Step 6: Final answer
    x = 562,772.19

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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.