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Finding the Fourth Proportional to 412,656.89, 618,781.14 and 146,377.49

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Solution

The fourth proportional to 412,656.89, 618,781.14 and 146,377.49 is: 219,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,656.89 : 618,781.14 = 146,377.49 : x
  2. Step 2: Convert to fraction form
    412,656.89/618,781.14 = 146,377.49/x
  3. Step 3: Cross multiply
    412,656.89x = 618,781.14 × 146,377.49
  4. Step 4: Simplify right side
    412,656.89x = 90,575,627,038.63
  5. Step 5: Solve for x
    x = 90,575,627,038.63/412,656.89
  6. Step 6: Final answer
    x = 219,493.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.