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Finding the Fourth Proportional to 702,690.96, 969,713.31 and 380,400.81

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Solution

The fourth proportional to 702,690.96, 969,713.31 and 380,400.81 is: 524,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,690.96 : 969,713.31 = 380,400.81 : x
  2. Step 2: Convert to fraction form
    702,690.96/969,713.31 = 380,400.81/x
  3. Step 3: Cross multiply
    702,690.96x = 969,713.31 × 380,400.81
  4. Step 4: Simplify right side
    702,690.96x = 368,879,728,591.78
  5. Step 5: Solve for x
    x = 368,879,728,591.78/702,690.96
  6. Step 6: Final answer
    x = 524,953.00

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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.