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Finding the Fourth Proportional to 357,149.12, 492,871.88 and 196,019.16

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Solution

The fourth proportional to 357,149.12, 492,871.88 and 196,019.16 is: 270,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,149.12 : 492,871.88 = 196,019.16 : x
  2. Step 2: Convert to fraction form
    357,149.12/492,871.88 = 196,019.16/x
  3. Step 3: Cross multiply
    357,149.12x = 492,871.88 × 196,019.16
  4. Step 4: Simplify right side
    357,149.12x = 96,612,331,905.22
  5. Step 5: Solve for x
    x = 96,612,331,905.22/357,149.12
  6. Step 6: Final answer
    x = 270,509.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.