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Finding the Fourth Proportional to 228,411.60, 341,961.30 and 139,838.10

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Solution

The fourth proportional to 228,411.60, 341,961.30 and 139,838.10 is: 209,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,411.60 : 341,961.30 = 139,838.10 : x
  2. Step 2: Convert to fraction form
    228,411.60/341,961.30 = 139,838.10/x
  3. Step 3: Cross multiply
    228,411.60x = 341,961.30 × 139,838.10
  4. Step 4: Simplify right side
    228,411.60x = 47,819,218,465.53
  5. Step 5: Solve for x
    x = 47,819,218,465.53/228,411.60
  6. Step 6: Final answer
    x = 209,355.47

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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.