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Finding the Fourth Proportional to 278,880.66, 384,807.78 and 157,996.98

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Solution

The fourth proportional to 278,880.66, 384,807.78 and 157,996.98 is: 218,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,880.66 : 384,807.78 = 157,996.98 : x
  2. Step 2: Convert to fraction form
    278,880.66/384,807.78 = 157,996.98/x
  3. Step 3: Cross multiply
    278,880.66x = 384,807.78 × 157,996.98
  4. Step 4: Simplify right side
    278,880.66x = 60,798,467,120.50
  5. Step 5: Solve for x
    x = 60,798,467,120.50/278,880.66
  6. Step 6: Final answer
    x = 218,008.90

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1.5x scale

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.