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Finding the Fourth Proportional to 421,145.14, 632,155.12 and 243,998.14

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Solution

The fourth proportional to 421,145.14, 632,155.12 and 243,998.14 is: 366,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,145.14 : 632,155.12 = 243,998.14 : x
  2. Step 2: Convert to fraction form
    421,145.14/632,155.12 = 243,998.14/x
  3. Step 3: Cross multiply
    421,145.14x = 632,155.12 × 243,998.14
  4. Step 4: Simplify right side
    421,145.14x = 154,244,673,471.48
  5. Step 5: Solve for x
    x = 154,244,673,471.48/421,145.14
  6. Step 6: Final answer
    x = 366,250.63

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1.5x scale

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.