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Finding the Fourth Proportional to 1,322,398.71, 1,983,440.39 and 782,977.59

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Solution

The fourth proportional to 1,322,398.71, 1,983,440.39 and 782,977.59 is: 1,174,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,398.71 : 1,983,440.39 = 782,977.59 : x
  2. Step 2: Convert to fraction form
    1,322,398.71/1,983,440.39 = 782,977.59/x
  3. Step 3: Cross multiply
    1,322,398.71x = 1,983,440.39 × 782,977.59
  4. Step 4: Simplify right side
    1,322,398.71x = 1,552,989,372,555.97
  5. Step 5: Solve for x
    x = 1,552,989,372,555.97/1,322,398.71
  6. Step 6: Final answer
    x = 1,174,373.02

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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.