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Finding the Fourth Proportional to 702,147.24, 968,959.20 and 379,856.40

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Solution

The fourth proportional to 702,147.24, 968,959.20 and 379,856.40 is: 524,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,147.24 : 968,959.20 = 379,856.40 : x
  2. Step 2: Convert to fraction form
    702,147.24/968,959.20 = 379,856.40/x
  3. Step 3: Cross multiply
    702,147.24x = 968,959.20 × 379,856.40
  4. Step 4: Simplify right side
    702,147.24x = 368,065,353,458.88
  5. Step 5: Solve for x
    x = 368,065,353,458.88/702,147.24
  6. Step 6: Final answer
    x = 524,199.67

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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.