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Finding the Fourth Proportional to 456,426.48, 684,069.48 and 219,705.84

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Solution

The fourth proportional to 456,426.48, 684,069.48 and 219,705.84 is: 329,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,426.48 : 684,069.48 = 219,705.84 : x
  2. Step 2: Convert to fraction form
    456,426.48/684,069.48 = 219,705.84/x
  3. Step 3: Cross multiply
    456,426.48x = 684,069.48 × 219,705.84
  4. Step 4: Simplify right side
    456,426.48x = 150,294,059,721.76
  5. Step 5: Solve for x
    x = 150,294,059,721.76/456,426.48
  6. Step 6: Final answer
    x = 329,284.27

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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.