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Finding the Fourth Proportional to 433,704.12, 651,300.66 and 266,208

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Solution

The fourth proportional to 433,704.12, 651,300.66 and 266,208 is: 399,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,704.12 : 651,300.66 = 266,208 : x
  2. Step 2: Convert to fraction form
    433,704.12/651,300.66 = 266,208/x
  3. Step 3: Cross multiply
    433,704.12x = 651,300.66 × 266,208
  4. Step 4: Simplify right side
    433,704.12x = 173,381,446,097.28
  5. Step 5: Solve for x
    x = 173,381,446,097.28/433,704.12
  6. Step 6: Final answer
    x = 399,768.96

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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.