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Finding the Fourth Proportional to 699,552, 965,381.76 and 397,746

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Solution

The fourth proportional to 699,552, 965,381.76 and 397,746 is: 548,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,552 : 965,381.76 = 397,746 : x
  2. Step 2: Convert to fraction form
    699,552/965,381.76 = 397,746/x
  3. Step 3: Cross multiply
    699,552x = 965,381.76 × 397,746
  4. Step 4: Simplify right side
    699,552x = 383,976,733,512.96
  5. Step 5: Solve for x
    x = 383,976,733,512.96/699,552
  6. Step 6: Final answer
    x = 548,889.48

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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.