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Finding the Fourth Proportional to 308,047.20, 462,085.20 and 97,701.60

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Solution

The fourth proportional to 308,047.20, 462,085.20 and 97,701.60 is: 146,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,047.20 : 462,085.20 = 97,701.60 : x
  2. Step 2: Convert to fraction form
    308,047.20/462,085.20 = 97,701.60/x
  3. Step 3: Cross multiply
    308,047.20x = 462,085.20 × 97,701.60
  4. Step 4: Simplify right side
    308,047.20x = 45,146,463,376.32
  5. Step 5: Solve for x
    x = 45,146,463,376.32/308,047.20
  6. Step 6: Final answer
    x = 146,556.97

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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.