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Finding the Fourth Proportional to 385,600.80, 577,364.40 and 279,847.20

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Solution

The fourth proportional to 385,600.80, 577,364.40 and 279,847.20 is: 419,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,600.80 : 577,364.40 = 279,847.20 : x
  2. Step 2: Convert to fraction form
    385,600.80/577,364.40 = 279,847.20/x
  3. Step 3: Cross multiply
    385,600.80x = 577,364.40 × 279,847.20
  4. Step 4: Simplify right side
    385,600.80x = 161,573,810,719.68
  5. Step 5: Solve for x
    x = 161,573,810,719.68/385,600.80
  6. Step 6: Final answer
    x = 419,018.35

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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.