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Finding the Fourth Proportional to 489,023.47, 733,709.73 and 297,287.98

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Solution

The fourth proportional to 489,023.47, 733,709.73 and 297,287.98 is: 446,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,023.47 : 733,709.73 = 297,287.98 : x
  2. Step 2: Convert to fraction form
    489,023.47/733,709.73 = 297,287.98/x
  3. Step 3: Cross multiply
    489,023.47x = 733,709.73 × 297,287.98
  4. Step 4: Simplify right side
    489,023.47x = 218,123,083,538.05
  5. Step 5: Solve for x
    x = 218,123,083,538.05/489,023.47
  6. Step 6: Final answer
    x = 446,038.07

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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.