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Finding the Fourth Proportional to 314,857.76, 472,374.48 and 137,380.64

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Solution

The fourth proportional to 314,857.76, 472,374.48 and 137,380.64 is: 206,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,857.76 : 472,374.48 = 137,380.64 : x
  2. Step 2: Convert to fraction form
    314,857.76/472,374.48 = 137,380.64/x
  3. Step 3: Cross multiply
    314,857.76x = 472,374.48 × 137,380.64
  4. Step 4: Simplify right side
    314,857.76x = 64,895,108,382.07
  5. Step 5: Solve for x
    x = 64,895,108,382.07/314,857.76
  6. Step 6: Final answer
    x = 206,109.29

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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.