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Finding the Fourth Proportional to 547,643.40, 821,319.30 and 168,563.40

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Solution

The fourth proportional to 547,643.40, 821,319.30 and 168,563.40 is: 252,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,643.40 : 821,319.30 = 168,563.40 : x
  2. Step 2: Convert to fraction form
    547,643.40/821,319.30 = 168,563.40/x
  3. Step 3: Cross multiply
    547,643.40x = 821,319.30 × 168,563.40
  4. Step 4: Simplify right side
    547,643.40x = 138,444,373,693.62
  5. Step 5: Solve for x
    x = 138,444,373,693.62/547,643.40
  6. Step 6: Final answer
    x = 252,800.22

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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.