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Finding the Fourth Proportional to 532,721, 735,154.98 and 306,361.64

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Solution

The fourth proportional to 532,721, 735,154.98 and 306,361.64 is: 422,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,721 : 735,154.98 = 306,361.64 : x
  2. Step 2: Convert to fraction form
    532,721/735,154.98 = 306,361.64/x
  3. Step 3: Cross multiply
    532,721x = 735,154.98 × 306,361.64
  4. Step 4: Simplify right side
    532,721x = 225,223,285,326.97
  5. Step 5: Solve for x
    x = 225,223,285,326.97/532,721
  6. Step 6: Final answer
    x = 422,779.06

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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.