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Finding the Fourth Proportional to 278,574.56, 384,422.40 and 151,247.44

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Solution

The fourth proportional to 278,574.56, 384,422.40 and 151,247.44 is: 208,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,574.56 : 384,422.40 = 151,247.44 : x
  2. Step 2: Convert to fraction form
    278,574.56/384,422.40 = 151,247.44/x
  3. Step 3: Cross multiply
    278,574.56x = 384,422.40 × 151,247.44
  4. Step 4: Simplify right side
    278,574.56x = 58,142,903,878.66
  5. Step 5: Solve for x
    x = 58,142,903,878.66/278,574.56
  6. Step 6: Final answer
    x = 208,715.77

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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.