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Finding the Fourth Proportional to 218,804.68, 301,946.26 and 123,309.46

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Solution

The fourth proportional to 218,804.68, 301,946.26 and 123,309.46 is: 170,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,804.68 : 301,946.26 = 123,309.46 : x
  2. Step 2: Convert to fraction form
    218,804.68/301,946.26 = 123,309.46/x
  3. Step 3: Cross multiply
    218,804.68x = 301,946.26 × 123,309.46
  4. Step 4: Simplify right side
    218,804.68x = 37,232,830,269.62
  5. Step 5: Solve for x
    x = 37,232,830,269.62/218,804.68
  6. Step 6: Final answer
    x = 170,164.69

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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.