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Finding the Fourth Proportional to 377,700.71, 566,495.19 and 137,758.45

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Solution

The fourth proportional to 377,700.71, 566,495.19 and 137,758.45 is: 206,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,700.71 : 566,495.19 = 137,758.45 : x
  2. Step 2: Convert to fraction form
    377,700.71/566,495.19 = 137,758.45/x
  3. Step 3: Cross multiply
    377,700.71x = 566,495.19 × 137,758.45
  4. Step 4: Simplify right side
    377,700.71x = 78,039,497,746.97
  5. Step 5: Solve for x
    x = 78,039,497,746.97/377,700.71
  6. Step 6: Final answer
    x = 206,617.29

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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.