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Finding the Fourth Proportional to 289,712.22, 399,803.75 and 160,659.78

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Solution

The fourth proportional to 289,712.22, 399,803.75 and 160,659.78 is: 221,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,712.22 : 399,803.75 = 160,659.78 : x
  2. Step 2: Convert to fraction form
    289,712.22/399,803.75 = 160,659.78/x
  3. Step 3: Cross multiply
    289,712.22x = 399,803.75 × 160,659.78
  4. Step 4: Simplify right side
    289,712.22x = 64,232,382,518.18
  5. Step 5: Solve for x
    x = 64,232,382,518.18/289,712.22
  6. Step 6: Final answer
    x = 221,710.99

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Why These Related Problems?

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