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Finding the Fourth Proportional to 301,361.61, 415,877.73 and 165,397.79

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Solution

The fourth proportional to 301,361.61, 415,877.73 and 165,397.79 is: 228,248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,361.61 : 415,877.73 = 165,397.79 : x
  2. Step 2: Convert to fraction form
    301,361.61/415,877.73 = 165,397.79/x
  3. Step 3: Cross multiply
    301,361.61x = 415,877.73 × 165,397.79
  4. Step 4: Simplify right side
    301,361.61x = 68,785,255,372.83
  5. Step 5: Solve for x
    x = 68,785,255,372.83/301,361.61
  6. Step 6: Final answer
    x = 228,248.23

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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.