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Finding the Fourth Proportional to 454,069.17, 681,210.24 and 138,525.96

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Solution

The fourth proportional to 454,069.17, 681,210.24 and 138,525.96 is: 207,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,069.17 : 681,210.24 = 138,525.96 : x
  2. Step 2: Convert to fraction form
    454,069.17/681,210.24 = 138,525.96/x
  3. Step 3: Cross multiply
    454,069.17x = 681,210.24 × 138,525.96
  4. Step 4: Simplify right side
    454,069.17x = 94,365,302,457.83
  5. Step 5: Solve for x
    x = 94,365,302,457.83/454,069.17
  6. Step 6: Final answer
    x = 207,821.43

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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.