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Finding the Fourth Proportional to 278,457.94, 417,754.95 and 88,918.35

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Solution

The fourth proportional to 278,457.94, 417,754.95 and 88,918.35 is: 133,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,457.94 : 417,754.95 = 88,918.35 : x
  2. Step 2: Convert to fraction form
    278,457.94/417,754.95 = 88,918.35/x
  3. Step 3: Cross multiply
    278,457.94x = 417,754.95 × 88,918.35
  4. Step 4: Simplify right side
    278,457.94x = 37,146,080,858.33
  5. Step 5: Solve for x
    x = 37,146,080,858.33/278,457.94
  6. Step 6: Final answer
    x = 133,399.25

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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.