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Finding the Fourth Proportional to 497,320.80, 746,078.40 and 213,010.80

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Solution

The fourth proportional to 497,320.80, 746,078.40 and 213,010.80 is: 319,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,320.80 : 746,078.40 = 213,010.80 : x
  2. Step 2: Convert to fraction form
    497,320.80/746,078.40 = 213,010.80/x
  3. Step 3: Cross multiply
    497,320.80x = 746,078.40 × 213,010.80
  4. Step 4: Simplify right side
    497,320.80x = 158,922,756,846.72
  5. Step 5: Solve for x
    x = 158,922,756,846.72/497,320.80
  6. Step 6: Final answer
    x = 319,557.83

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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.