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Finding the Fourth Proportional to 280,295.60, 386,809 and 152,974

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Solution

The fourth proportional to 280,295.60, 386,809 and 152,974 is: 211,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,295.60 : 386,809 = 152,974 : x
  2. Step 2: Convert to fraction form
    280,295.60/386,809 = 152,974/x
  3. Step 3: Cross multiply
    280,295.60x = 386,809 × 152,974
  4. Step 4: Simplify right side
    280,295.60x = 59,171,719,966
  5. Step 5: Solve for x
    x = 59,171,719,966/280,295.60
  6. Step 6: Final answer
    x = 211,104.71

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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.