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Finding the Fourth Proportional to 278,485.94, 417,796.96 and 88,946.34

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Solution

The fourth proportional to 278,485.94, 417,796.96 and 88,946.34 is: 133,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,485.94 : 417,796.96 = 88,946.34 : x
  2. Step 2: Convert to fraction form
    278,485.94/417,796.96 = 88,946.34/x
  3. Step 3: Cross multiply
    278,485.94x = 417,796.96 × 88,946.34
  4. Step 4: Simplify right side
    278,485.94x = 37,161,510,455.13
  5. Step 5: Solve for x
    x = 37,161,510,455.13/278,485.94
  6. Step 6: Final answer
    x = 133,441.24

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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.