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Finding the Fourth Proportional to 302,925.71, 418,040.02 and 166,960

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Solution

The fourth proportional to 302,925.71, 418,040.02 and 166,960 is: 230,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,925.71 : 418,040.02 = 166,960 : x
  2. Step 2: Convert to fraction form
    302,925.71/418,040.02 = 166,960/x
  3. Step 3: Cross multiply
    302,925.71x = 418,040.02 × 166,960
  4. Step 4: Simplify right side
    302,925.71x = 69,795,961,739.20
  5. Step 5: Solve for x
    x = 69,795,961,739.20/302,925.71
  6. Step 6: Final answer
    x = 230,406.20

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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.