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Finding the Fourth Proportional to 274,322.40, 378,599.76 and 153,470.40

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Solution

The fourth proportional to 274,322.40, 378,599.76 and 153,470.40 is: 211,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,322.40 : 378,599.76 = 153,470.40 : x
  2. Step 2: Convert to fraction form
    274,322.40/378,599.76 = 153,470.40/x
  3. Step 3: Cross multiply
    274,322.40x = 378,599.76 × 153,470.40
  4. Step 4: Simplify right side
    274,322.40x = 58,103,856,607.10
  5. Step 5: Solve for x
    x = 58,103,856,607.10/274,322.40
  6. Step 6: Final answer
    x = 211,808.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.