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Finding the Fourth Proportional to 377,276.40, 565,720.20 and 140,497.20

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Solution

The fourth proportional to 377,276.40, 565,720.20 and 140,497.20 is: 210,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,276.40 : 565,720.20 = 140,497.20 : x
  2. Step 2: Convert to fraction form
    377,276.40/565,720.20 = 140,497.20/x
  3. Step 3: Cross multiply
    377,276.40x = 565,720.20 × 140,497.20
  4. Step 4: Simplify right side
    377,276.40x = 79,482,104,083.44
  5. Step 5: Solve for x
    x = 79,482,104,083.44/377,276.40
  6. Step 6: Final answer
    x = 210,673.41

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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.