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Finding the Fourth Proportional to 393,901.18, 590,802.56 and 109,613.05

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Solution

The fourth proportional to 393,901.18, 590,802.56 and 109,613.05 is: 164,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,901.18 : 590,802.56 = 109,613.05 : x
  2. Step 2: Convert to fraction form
    393,901.18/590,802.56 = 109,613.05/x
  3. Step 3: Cross multiply
    393,901.18x = 590,802.56 × 109,613.05
  4. Step 4: Simplify right side
    393,901.18x = 64,759,668,935.39
  5. Step 5: Solve for x
    x = 64,759,668,935.39/393,901.18
  6. Step 6: Final answer
    x = 164,405.88

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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.