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Finding the Fourth Proportional to 377,147.92, 565,968 and 140,679.76

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Solution

The fourth proportional to 377,147.92, 565,968 and 140,679.76 is: 211,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,147.92 : 565,968 = 140,679.76 : x
  2. Step 2: Convert to fraction form
    377,147.92/565,968 = 140,679.76/x
  3. Step 3: Cross multiply
    377,147.92x = 565,968 × 140,679.76
  4. Step 4: Simplify right side
    377,147.92x = 79,620,242,407.68
  5. Step 5: Solve for x
    x = 79,620,242,407.68/377,147.92
  6. Step 6: Final answer
    x = 211,111.45

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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.