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Finding the Fourth Proportional to 421,154.70, 581,192.07 and 230,168.04

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Solution

The fourth proportional to 421,154.70, 581,192.07 and 230,168.04 is: 317,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,154.70 : 581,192.07 = 230,168.04 : x
  2. Step 2: Convert to fraction form
    421,154.70/581,192.07 = 230,168.04/x
  3. Step 3: Cross multiply
    421,154.70x = 581,192.07 × 230,168.04
  4. Step 4: Simplify right side
    421,154.70x = 133,771,839,615.44
  5. Step 5: Solve for x
    x = 133,771,839,615.44/421,154.70
  6. Step 6: Final answer
    x = 317,631.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.