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Finding the Fourth Proportional to 497,090.22, 745,698.33 and 489,396.30

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Solution

The fourth proportional to 497,090.22, 745,698.33 and 489,396.30 is: 734,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,090.22 : 745,698.33 = 489,396.30 : x
  2. Step 2: Convert to fraction form
    497,090.22/745,698.33 = 489,396.30/x
  3. Step 3: Cross multiply
    497,090.22x = 745,698.33 × 489,396.30
  4. Step 4: Simplify right side
    497,090.22x = 364,942,003,618.18
  5. Step 5: Solve for x
    x = 364,942,003,618.18/497,090.22
  6. Step 6: Final answer
    x = 734,156.47

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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.