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Finding the Fourth Proportional to 667,172.07, 920,628.72 and 380,637

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Solution

The fourth proportional to 667,172.07, 920,628.72 and 380,637 is: 525,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,172.07 : 920,628.72 = 380,637 : x
  2. Step 2: Convert to fraction form
    667,172.07/920,628.72 = 380,637/x
  3. Step 3: Cross multiply
    667,172.07x = 920,628.72 × 380,637
  4. Step 4: Simplify right side
    667,172.07x = 350,425,354,094.64
  5. Step 5: Solve for x
    x = 350,425,354,094.64/667,172.07
  6. Step 6: Final answer
    x = 525,239.84

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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.