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Finding the Fourth Proportional to 421,142.14, 632,150.61 and 243,995.14

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Solution

The fourth proportional to 421,142.14, 632,150.61 and 243,995.14 is: 366,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,142.14 : 632,150.61 = 243,995.14 : x
  2. Step 2: Convert to fraction form
    421,142.14/632,150.61 = 243,995.14/x
  3. Step 3: Cross multiply
    421,142.14x = 632,150.61 × 243,995.14
  4. Step 4: Simplify right side
    421,142.14x = 154,241,676,588.04
  5. Step 5: Solve for x
    x = 154,241,676,588.04/421,142.14
  6. Step 6: Final answer
    x = 366,246.12

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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.