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Finding the Fourth Proportional to 289,629.84, 399,685.28 and 162,307.92

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Solution

The fourth proportional to 289,629.84, 399,685.28 and 162,307.92 is: 223,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,629.84 : 399,685.28 = 162,307.92 : x
  2. Step 2: Convert to fraction form
    289,629.84/399,685.28 = 162,307.92/x
  3. Step 3: Cross multiply
    289,629.84x = 399,685.28 × 162,307.92
  4. Step 4: Simplify right side
    289,629.84x = 64,872,086,451.42
  5. Step 5: Solve for x
    x = 64,872,086,451.42/289,629.84
  6. Step 6: Final answer
    x = 223,982.74

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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.