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Finding the Fourth Proportional to 284,951.39, 393,194.40 and 162,459.57

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Solution

The fourth proportional to 284,951.39, 393,194.40 and 162,459.57 is: 224,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,951.39 : 393,194.40 = 162,459.57 : x
  2. Step 2: Convert to fraction form
    284,951.39/393,194.40 = 162,459.57/x
  3. Step 3: Cross multiply
    284,951.39x = 393,194.40 × 162,459.57
  4. Step 4: Simplify right side
    284,951.39x = 63,878,193,150.41
  5. Step 5: Solve for x
    x = 63,878,193,150.41/284,951.39
  6. Step 6: Final answer
    x = 224,172.25

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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.