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Finding the Fourth Proportional to 417,784.40, 576,543.12 and 226,797.92

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Solution

The fourth proportional to 417,784.40, 576,543.12 and 226,797.92 is: 312,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,784.40 : 576,543.12 = 226,797.92 : x
  2. Step 2: Convert to fraction form
    417,784.40/576,543.12 = 226,797.92/x
  3. Step 3: Cross multiply
    417,784.40x = 576,543.12 × 226,797.92
  4. Step 4: Simplify right side
    417,784.40x = 130,758,780,406.31
  5. Step 5: Solve for x
    x = 130,758,780,406.31/417,784.40
  6. Step 6: Final answer
    x = 312,981.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.