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Finding the Fourth Proportional to 209,616.80, 314,425.20 and 143,261.60

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Solution

The fourth proportional to 209,616.80, 314,425.20 and 143,261.60 is: 214,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,616.80 : 314,425.20 = 143,261.60 : x
  2. Step 2: Convert to fraction form
    209,616.80/314,425.20 = 143,261.60/x
  3. Step 3: Cross multiply
    209,616.80x = 314,425.20 × 143,261.60
  4. Step 4: Simplify right side
    209,616.80x = 45,045,057,232.32
  5. Step 5: Solve for x
    x = 45,045,057,232.32/209,616.80
  6. Step 6: Final answer
    x = 214,892.40

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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.