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Finding the Fourth Proportional to 229,213.60, 343,820.40 and 209,514.40

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Solution

The fourth proportional to 229,213.60, 343,820.40 and 209,514.40 is: 314,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,213.60 : 343,820.40 = 209,514.40 : x
  2. Step 2: Convert to fraction form
    229,213.60/343,820.40 = 209,514.40/x
  3. Step 3: Cross multiply
    229,213.60x = 343,820.40 × 209,514.40
  4. Step 4: Simplify right side
    229,213.60x = 72,035,324,813.76
  5. Step 5: Solve for x
    x = 72,035,324,813.76/229,213.60
  6. Step 6: Final answer
    x = 314,271.60

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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.