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Finding the Fourth Proportional to 224,325.69, 309,541.16 and 128,838.54

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Solution

The fourth proportional to 224,325.69, 309,541.16 and 128,838.54 is: 177,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,325.69 : 309,541.16 = 128,838.54 : x
  2. Step 2: Convert to fraction form
    224,325.69/309,541.16 = 128,838.54/x
  3. Step 3: Cross multiply
    224,325.69x = 309,541.16 × 128,838.54
  4. Step 4: Simplify right side
    224,325.69x = 39,880,831,124.31
  5. Step 5: Solve for x
    x = 39,880,831,124.31/224,325.69
  6. Step 6: Final answer
    x = 177,780.94

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1.5x scale

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.