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Finding the Fourth Proportional to 308,520.20, 462,812.70 and 98,109.20

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Solution

The fourth proportional to 308,520.20, 462,812.70 and 98,109.20 is: 147,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,520.20 : 462,812.70 = 98,109.20 : x
  2. Step 2: Convert to fraction form
    308,520.20/462,812.70 = 98,109.20/x
  3. Step 3: Cross multiply
    308,520.20x = 462,812.70 × 98,109.20
  4. Step 4: Simplify right side
    308,520.20x = 45,406,183,746.84
  5. Step 5: Solve for x
    x = 45,406,183,746.84/308,520.20
  6. Step 6: Final answer
    x = 147,174.10

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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.