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Finding the Fourth Proportional to 228,970.80, 343,296.20 and 135,428.40

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Solution

The fourth proportional to 228,970.80, 343,296.20 and 135,428.40 is: 203,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,970.80 : 343,296.20 = 135,428.40 : x
  2. Step 2: Convert to fraction form
    228,970.80/343,296.20 = 135,428.40/x
  3. Step 3: Cross multiply
    228,970.80x = 343,296.20 × 135,428.40
  4. Step 4: Simplify right side
    228,970.80x = 46,492,055,092.08
  5. Step 5: Solve for x
    x = 46,492,055,092.08/228,970.80
  6. Step 6: Final answer
    x = 203,047.97

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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.