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Finding the Fourth Proportional to 981,012, 1,470,716.64 and 507,833.76

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Solution

The fourth proportional to 981,012, 1,470,716.64 and 507,833.76 is: 761,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,012 : 1,470,716.64 = 507,833.76 : x
  2. Step 2: Convert to fraction form
    981,012/1,470,716.64 = 507,833.76/x
  3. Step 3: Cross multiply
    981,012x = 1,470,716.64 × 507,833.76
  4. Step 4: Simplify right side
    981,012x = 746,879,561,185.77
  5. Step 5: Solve for x
    x = 746,879,561,185.77/981,012
  6. Step 6: Final answer
    x = 761,335.81

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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.