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Finding the Fourth Proportional to 1,424,448.90, 1,965,745.20 and 779,929.02

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Solution

The fourth proportional to 1,424,448.90, 1,965,745.20 and 779,929.02 is: 1,076,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,448.90 : 1,965,745.20 = 779,929.02 : x
  2. Step 2: Convert to fraction form
    1,424,448.90/1,965,745.20 = 779,929.02/x
  3. Step 3: Cross multiply
    1,424,448.90x = 1,965,745.20 × 779,929.02
  4. Step 4: Simplify right side
    1,424,448.90x = 1,533,141,727,405.70
  5. Step 5: Solve for x
    x = 1,533,141,727,405.70/1,424,448.90
  6. Step 6: Final answer
    x = 1,076,305.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.