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Finding the Fourth Proportional to 346,073, 519,106.20 and 109,415.64

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Solution

The fourth proportional to 346,073, 519,106.20 and 109,415.64 is: 164,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,073 : 519,106.20 = 109,415.64 : x
  2. Step 2: Convert to fraction form
    346,073/519,106.20 = 109,415.64/x
  3. Step 3: Cross multiply
    346,073x = 519,106.20 × 109,415.64
  4. Step 4: Simplify right side
    346,073x = 56,798,337,100.97
  5. Step 5: Solve for x
    x = 56,798,337,100.97/346,073
  6. Step 6: Final answer
    x = 164,122.42

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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.