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Finding the Fourth Proportional to 702,317.12, 969,190.32 and 380,020.16

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Solution

The fourth proportional to 702,317.12, 969,190.32 and 380,020.16 is: 524,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,317.12 : 969,190.32 = 380,020.16 : x
  2. Step 2: Convert to fraction form
    702,317.12/969,190.32 = 380,020.16/x
  3. Step 3: Cross multiply
    702,317.12x = 969,190.32 × 380,020.16
  4. Step 4: Simplify right side
    702,317.12x = 368,311,860,476.85
  5. Step 5: Solve for x
    x = 368,311,860,476.85/702,317.12
  6. Step 6: Final answer
    x = 524,423.87

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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.