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Finding the Fourth Proportional to 300,114.40, 414,202.80 and 186,973.60

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Solution

The fourth proportional to 300,114.40, 414,202.80 and 186,973.60 is: 258,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,114.40 : 414,202.80 = 186,973.60 : x
  2. Step 2: Convert to fraction form
    300,114.40/414,202.80 = 186,973.60/x
  3. Step 3: Cross multiply
    300,114.40x = 414,202.80 × 186,973.60
  4. Step 4: Simplify right side
    300,114.40x = 77,444,988,646.08
  5. Step 5: Solve for x
    x = 77,444,988,646.08/300,114.40
  6. Step 6: Final answer
    x = 258,051.56

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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.