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Finding the Fourth Proportional to 289,258.83, 434,168.11 and 139,604.48

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Solution

The fourth proportional to 289,258.83, 434,168.11 and 139,604.48 is: 209,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,258.83 : 434,168.11 = 139,604.48 : x
  2. Step 2: Convert to fraction form
    289,258.83/434,168.11 = 139,604.48/x
  3. Step 3: Cross multiply
    289,258.83x = 434,168.11 × 139,604.48
  4. Step 4: Simplify right side
    289,258.83x = 60,611,812,468.29
  5. Step 5: Solve for x
    x = 60,611,812,468.29/289,258.83
  6. Step 6: Final answer
    x = 209,541.79

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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.