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Finding the Fourth Proportional to 305,649.60, 457,809.60 and 186,961.92

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Solution

The fourth proportional to 305,649.60, 457,809.60 and 186,961.92 is: 280,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,649.60 : 457,809.60 = 186,961.92 : x
  2. Step 2: Convert to fraction form
    305,649.60/457,809.60 = 186,961.92/x
  3. Step 3: Cross multiply
    305,649.60x = 457,809.60 × 186,961.92
  4. Step 4: Simplify right side
    305,649.60x = 85,592,961,810.43
  5. Step 5: Solve for x
    x = 85,592,961,810.43/305,649.60
  6. Step 6: Final answer
    x = 280,036.23

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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.