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Finding the Fourth Proportional to 417,825.32, 626,970.72 and 225,695.84

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Solution

The fourth proportional to 417,825.32, 626,970.72 and 225,695.84 is: 338,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,825.32 : 626,970.72 = 225,695.84 : x
  2. Step 2: Convert to fraction form
    417,825.32/626,970.72 = 225,695.84/x
  3. Step 3: Cross multiply
    417,825.32x = 626,970.72 × 225,695.84
  4. Step 4: Simplify right side
    417,825.32x = 141,504,683,305.81
  5. Step 5: Solve for x
    x = 141,504,683,305.81/417,825.32
  6. Step 6: Final answer
    x = 338,669.48

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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.