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Finding the Fourth Proportional to 702,410.70, 969,329.18 and 380,120.72

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Solution

The fourth proportional to 702,410.70, 969,329.18 and 380,120.72 is: 524,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,410.70 : 969,329.18 = 380,120.72 : x
  2. Step 2: Convert to fraction form
    702,410.70/969,329.18 = 380,120.72/x
  3. Step 3: Cross multiply
    702,410.70x = 969,329.18 × 380,120.72
  4. Step 4: Simplify right side
    702,410.70x = 368,462,105,818.61
  5. Step 5: Solve for x
    x = 368,462,105,818.61/702,410.70
  6. Step 6: Final answer
    x = 524,567.90

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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.