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Finding the Fourth Proportional to 421,130.64, 632,133.36 and 243,983.64

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Solution

The fourth proportional to 421,130.64, 632,133.36 and 243,983.64 is: 366,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,130.64 : 632,133.36 = 243,983.64 : x
  2. Step 2: Convert to fraction form
    421,130.64/632,133.36 = 243,983.64/x
  3. Step 3: Cross multiply
    421,130.64x = 632,133.36 × 243,983.64
  4. Step 4: Simplify right side
    421,130.64x = 154,230,198,138.23
  5. Step 5: Solve for x
    x = 154,230,198,138.23/421,130.64
  6. Step 6: Final answer
    x = 366,228.87

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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.