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Finding the Fourth Proportional to 702,731.22, 969,768.87 and 380,441.10

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Solution

The fourth proportional to 702,731.22, 969,768.87 and 380,441.10 is: 525,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,731.22 : 969,768.87 = 380,441.10 : x
  2. Step 2: Convert to fraction form
    702,731.22/969,768.87 = 380,441.10/x
  3. Step 3: Cross multiply
    702,731.22x = 969,768.87 × 380,441.10
  4. Step 4: Simplify right side
    702,731.22x = 368,939,935,648.56
  5. Step 5: Solve for x
    x = 368,939,935,648.56/702,731.22
  6. Step 6: Final answer
    x = 525,008.60

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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.