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Finding the Fourth Proportional to 1,325,343.86, 1,828,731.57 and 781,649.78

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Solution

The fourth proportional to 1,325,343.86, 1,828,731.57 and 781,649.78 is: 1,078,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,343.86 : 1,828,731.57 = 781,649.78 : x
  2. Step 2: Convert to fraction form
    1,325,343.86/1,828,731.57 = 781,649.78/x
  3. Step 3: Cross multiply
    1,325,343.86x = 1,828,731.57 × 781,649.78
  4. Step 4: Simplify right side
    1,325,343.86x = 1,429,427,629,369.55
  5. Step 5: Solve for x
    x = 1,429,427,629,369.55/1,325,343.86
  6. Step 6: Final answer
    x = 1,078,533.41

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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.