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Finding the Fourth Proportional to 540,693.36, 811,051.20 and 166,716

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Solution

The fourth proportional to 540,693.36, 811,051.20 and 166,716 is: 250,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,693.36 : 811,051.20 = 166,716 : x
  2. Step 2: Convert to fraction form
    540,693.36/811,051.20 = 166,716/x
  3. Step 3: Cross multiply
    540,693.36x = 811,051.20 × 166,716
  4. Step 4: Simplify right side
    540,693.36x = 135,215,211,859.20
  5. Step 5: Solve for x
    x = 135,215,211,859.20/540,693.36
  6. Step 6: Final answer
    x = 250,077.44

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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.