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Finding the Fourth Proportional to 702,690.81, 969,713.12 and 380,400.67

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Solution

The fourth proportional to 702,690.81, 969,713.12 and 380,400.67 is: 524,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,690.81 : 969,713.12 = 380,400.67 : x
  2. Step 2: Convert to fraction form
    702,690.81/969,713.12 = 380,400.67/x
  3. Step 3: Cross multiply
    702,690.81x = 969,713.12 × 380,400.67
  4. Step 4: Simplify right side
    702,690.81x = 368,879,520,579.18
  5. Step 5: Solve for x
    x = 368,879,520,579.18/702,690.81
  6. Step 6: Final answer
    x = 524,952.82

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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.