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Finding the Fourth Proportional to 284,358.55, 392,414.50 and 157,033.84

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Solution

The fourth proportional to 284,358.55, 392,414.50 and 157,033.84 is: 216,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,358.55 : 392,414.50 = 157,033.84 : x
  2. Step 2: Convert to fraction form
    284,358.55/392,414.50 = 157,033.84/x
  3. Step 3: Cross multiply
    284,358.55x = 392,414.50 × 157,033.84
  4. Step 4: Simplify right side
    284,358.55x = 61,622,355,806.68
  5. Step 5: Solve for x
    x = 61,622,355,806.68/284,358.55
  6. Step 6: Final answer
    x = 216,706.53

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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.