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Finding the Fourth Proportional to 528,311.14, 729,052.89 and 295,738

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Solution

The fourth proportional to 528,311.14, 729,052.89 and 295,738 is: 408,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,311.14 : 729,052.89 = 295,738 : x
  2. Step 2: Convert to fraction form
    528,311.14/729,052.89 = 295,738/x
  3. Step 3: Cross multiply
    528,311.14x = 729,052.89 × 295,738
  4. Step 4: Simplify right side
    528,311.14x = 215,608,643,582.82
  5. Step 5: Solve for x
    x = 215,608,643,582.82/528,311.14
  6. Step 6: Final answer
    x = 408,109.21

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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.