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Finding the Fourth Proportional to 278,932.80, 417,784.80 and 242,068.80

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Solution

The fourth proportional to 278,932.80, 417,784.80 and 242,068.80 is: 362,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,932.80 : 417,784.80 = 242,068.80 : x
  2. Step 2: Convert to fraction form
    278,932.80/417,784.80 = 242,068.80/x
  3. Step 3: Cross multiply
    278,932.80x = 417,784.80 × 242,068.80
  4. Step 4: Simplify right side
    278,932.80x = 101,132,665,194.24
  5. Step 5: Solve for x
    x = 101,132,665,194.24/278,932.80
  6. Step 6: Final answer
    x = 362,570.00

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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.