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Finding the Fourth Proportional to 211,202.40, 316,803.60 and 197,205.60

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Solution

The fourth proportional to 211,202.40, 316,803.60 and 197,205.60 is: 295,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,202.40 : 316,803.60 = 197,205.60 : x
  2. Step 2: Convert to fraction form
    211,202.40/316,803.60 = 197,205.60/x
  3. Step 3: Cross multiply
    211,202.40x = 316,803.60 × 197,205.60
  4. Step 4: Simplify right side
    211,202.40x = 62,475,444,020.16
  5. Step 5: Solve for x
    x = 62,475,444,020.16/211,202.40
  6. Step 6: Final answer
    x = 295,808.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.