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Finding the Fourth Proportional to 538,893.81, 743,717.75 and 297,223.65

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Solution

The fourth proportional to 538,893.81, 743,717.75 and 297,223.65 is: 410,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,893.81 : 743,717.75 = 297,223.65 : x
  2. Step 2: Convert to fraction form
    538,893.81/743,717.75 = 297,223.65/x
  3. Step 3: Cross multiply
    538,893.81x = 743,717.75 × 297,223.65
  4. Step 4: Simplify right side
    538,893.81x = 221,050,502,738.67
  5. Step 5: Solve for x
    x = 221,050,502,738.67/538,893.81
  6. Step 6: Final answer
    x = 410,193.06

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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.