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Finding the Fourth Proportional to 421,846.28, 631,763.04 and 269,564.72

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Solution

The fourth proportional to 421,846.28, 631,763.04 and 269,564.72 is: 403,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,846.28 : 631,763.04 = 269,564.72 : x
  2. Step 2: Convert to fraction form
    421,846.28/631,763.04 = 269,564.72/x
  3. Step 3: Cross multiply
    421,846.28x = 631,763.04 × 269,564.72
  4. Step 4: Simplify right side
    421,846.28x = 170,301,026,983.95
  5. Step 5: Solve for x
    x = 170,301,026,983.95/421,846.28
  6. Step 6: Final answer
    x = 403,703.99

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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.