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Finding the Fourth Proportional to 421,728.66, 631,893.14 and 296,807.22

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Solution

The fourth proportional to 421,728.66, 631,893.14 and 296,807.22 is: 444,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,728.66 : 631,893.14 = 296,807.22 : x
  2. Step 2: Convert to fraction form
    421,728.66/631,893.14 = 296,807.22/x
  3. Step 3: Cross multiply
    421,728.66x = 631,893.14 × 296,807.22
  4. Step 4: Simplify right side
    421,728.66x = 187,550,446,220.47
  5. Step 5: Solve for x
    x = 187,550,446,220.47/421,728.66
  6. Step 6: Final answer
    x = 444,718.28

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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.