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Finding the Fourth Proportional to 218,616.75, 301,822.34 and 143,296.47

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Solution

The fourth proportional to 218,616.75, 301,822.34 and 143,296.47 is: 197,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,616.75 : 301,822.34 = 143,296.47 : x
  2. Step 2: Convert to fraction form
    218,616.75/301,822.34 = 143,296.47/x
  3. Step 3: Cross multiply
    218,616.75x = 301,822.34 × 143,296.47
  4. Step 4: Simplify right side
    218,616.75x = 43,250,075,172.66
  5. Step 5: Solve for x
    x = 43,250,075,172.66/218,616.75
  6. Step 6: Final answer
    x = 197,835.14

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1.5x scale

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.