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Finding the Fourth Proportional to 651,408.80, 977,064.60 and 272,231.60

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Solution

The fourth proportional to 651,408.80, 977,064.60 and 272,231.60 is: 408,327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,408.80 : 977,064.60 = 272,231.60 : x
  2. Step 2: Convert to fraction form
    651,408.80/977,064.60 = 272,231.60/x
  3. Step 3: Cross multiply
    651,408.80x = 977,064.60 × 272,231.60
  4. Step 4: Simplify right side
    651,408.80x = 265,987,859,361.36
  5. Step 5: Solve for x
    x = 265,987,859,361.36/651,408.80
  6. Step 6: Final answer
    x = 408,327.09

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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.