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Finding the Fourth Proportional to 413,608.22, 620,943.64 and 318,898.56

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Solution

The fourth proportional to 413,608.22, 620,943.64 and 318,898.56 is: 478,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,608.22 : 620,943.64 = 318,898.56 : x
  2. Step 2: Convert to fraction form
    413,608.22/620,943.64 = 318,898.56/x
  3. Step 3: Cross multiply
    413,608.22x = 620,943.64 × 318,898.56
  4. Step 4: Simplify right side
    413,608.22x = 198,018,032,637.16
  5. Step 5: Solve for x
    x = 198,018,032,637.16/413,608.22
  6. Step 6: Final answer
    x = 478,757.49

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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.