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Finding the Fourth Proportional to 702,429.64, 969,355.99 and 380,139.78

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Solution

The fourth proportional to 702,429.64, 969,355.99 and 380,139.78 is: 524,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,429.64 : 969,355.99 = 380,139.78 : x
  2. Step 2: Convert to fraction form
    702,429.64/969,355.99 = 380,139.78/x
  3. Step 3: Cross multiply
    702,429.64x = 969,355.99 × 380,139.78
  4. Step 4: Simplify right side
    702,429.64x = 368,490,776,890.54
  5. Step 5: Solve for x
    x = 368,490,776,890.54/702,429.64
  6. Step 6: Final answer
    x = 524,594.57

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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.