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Finding the Fourth Proportional to 519,415.40, 778,977.30 and 164,538.20

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Solution

The fourth proportional to 519,415.40, 778,977.30 and 164,538.20 is: 246,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,415.40 : 778,977.30 = 164,538.20 : x
  2. Step 2: Convert to fraction form
    519,415.40/778,977.30 = 164,538.20/x
  3. Step 3: Cross multiply
    519,415.40x = 778,977.30 × 164,538.20
  4. Step 4: Simplify right side
    519,415.40x = 128,171,522,782.86
  5. Step 5: Solve for x
    x = 128,171,522,782.86/519,415.40
  6. Step 6: Final answer
    x = 246,761.11

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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.