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Finding the Fourth Proportional to 300,528, 414,741.60 and 166,392

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Solution

The fourth proportional to 300,528, 414,741.60 and 166,392 is: 229,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,528 : 414,741.60 = 166,392 : x
  2. Step 2: Convert to fraction form
    300,528/414,741.60 = 166,392/x
  3. Step 3: Cross multiply
    300,528x = 414,741.60 × 166,392
  4. Step 4: Simplify right side
    300,528x = 69,009,684,307.20
  5. Step 5: Solve for x
    x = 69,009,684,307.20/300,528
  6. Step 6: Final answer
    x = 229,628.14

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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.