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Finding the Fourth Proportional to 501,175.46, 690,953.06 and 398,151.51

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Solution

The fourth proportional to 501,175.46, 690,953.06 and 398,151.51 is: 548,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,175.46 : 690,953.06 = 398,151.51 : x
  2. Step 2: Convert to fraction form
    501,175.46/690,953.06 = 398,151.51/x
  3. Step 3: Cross multiply
    501,175.46x = 690,953.06 × 398,151.51
  4. Step 4: Simplify right side
    501,175.46x = 275,104,000,459.98
  5. Step 5: Solve for x
    x = 275,104,000,459.98/501,175.46
  6. Step 6: Final answer
    x = 548,917.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.