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Finding the Fourth Proportional to 870,969, 1,306,453.50 and 279,993

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Solution

The fourth proportional to 870,969, 1,306,453.50 and 279,993 is: 419,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,969 : 1,306,453.50 = 279,993 : x
  2. Step 2: Convert to fraction form
    870,969/1,306,453.50 = 279,993/x
  3. Step 3: Cross multiply
    870,969x = 1,306,453.50 × 279,993
  4. Step 4: Simplify right side
    870,969x = 365,797,834,825.50
  5. Step 5: Solve for x
    x = 365,797,834,825.50/870,969
  6. Step 6: Final answer
    x = 419,989.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.