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Finding the Fourth Proportional to 377,268.90, 565,708.95 and 140,489.70

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Solution

The fourth proportional to 377,268.90, 565,708.95 and 140,489.70 is: 210,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,268.90 : 565,708.95 = 140,489.70 : x
  2. Step 2: Convert to fraction form
    377,268.90/565,708.95 = 140,489.70/x
  3. Step 3: Cross multiply
    377,268.90x = 565,708.95 × 140,489.70
  4. Step 4: Simplify right side
    377,268.90x = 79,476,280,672.82
  5. Step 5: Solve for x
    x = 79,476,280,672.82/377,268.90
  6. Step 6: Final answer
    x = 210,662.16

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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.