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Finding the Fourth Proportional to 702,690.80, 969,713.10 and 380,400.71

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Solution

The fourth proportional to 702,690.80, 969,713.10 and 380,400.71 is: 524,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,690.80 : 969,713.10 = 380,400.71 : x
  2. Step 2: Convert to fraction form
    702,690.80/969,713.10 = 380,400.71/x
  3. Step 3: Cross multiply
    702,690.80x = 969,713.10 × 380,400.71
  4. Step 4: Simplify right side
    702,690.80x = 368,879,546,887.74
  5. Step 5: Solve for x
    x = 368,879,546,887.74/702,690.80
  6. Step 6: Final answer
    x = 524,952.87

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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.