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Finding the Fourth Proportional to 308,052.80, 462,160.20 and 97,690.40

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Solution

The fourth proportional to 308,052.80, 462,160.20 and 97,690.40 is: 146,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,052.80 : 462,160.20 = 97,690.40 : x
  2. Step 2: Convert to fraction form
    308,052.80/462,160.20 = 97,690.40/x
  3. Step 3: Cross multiply
    308,052.80x = 462,160.20 × 97,690.40
  4. Step 4: Simplify right side
    308,052.80x = 45,148,614,802.08
  5. Step 5: Solve for x
    x = 45,148,614,802.08/308,052.80
  6. Step 6: Final answer
    x = 146,561.29

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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.