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Finding the Fourth Proportional to 398,172.20, 597,258.30 and 188,220.20

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Solution

The fourth proportional to 398,172.20, 597,258.30 and 188,220.20 is: 282,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,172.20 : 597,258.30 = 188,220.20 : x
  2. Step 2: Convert to fraction form
    398,172.20/597,258.30 = 188,220.20/x
  3. Step 3: Cross multiply
    398,172.20x = 597,258.30 × 188,220.20
  4. Step 4: Simplify right side
    398,172.20x = 112,416,076,677.66
  5. Step 5: Solve for x
    x = 112,416,076,677.66/398,172.20
  6. Step 6: Final answer
    x = 282,330.30

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1.5x scale

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.