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Finding the Fourth Proportional to 289,301.94, 434,022.18 and 120,728.46

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Solution

The fourth proportional to 289,301.94, 434,022.18 and 120,728.46 is: 181,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,301.94 : 434,022.18 = 120,728.46 : x
  2. Step 2: Convert to fraction form
    289,301.94/434,022.18 = 120,728.46/x
  3. Step 3: Cross multiply
    289,301.94x = 434,022.18 × 120,728.46
  4. Step 4: Simplify right side
    289,301.94x = 52,398,829,397.24
  5. Step 5: Solve for x
    x = 52,398,829,397.24/289,301.94
  6. Step 6: Final answer
    x = 181,121.60

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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.