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Finding the Fourth Proportional to 302,969.37, 418,078.64 and 166,995.80

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Solution

The fourth proportional to 302,969.37, 418,078.64 and 166,995.80 is: 230,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,969.37 : 418,078.64 = 166,995.80 : x
  2. Step 2: Convert to fraction form
    302,969.37/418,078.64 = 166,995.80/x
  3. Step 3: Cross multiply
    302,969.37x = 418,078.64 × 166,995.80
  4. Step 4: Simplify right side
    302,969.37x = 69,817,376,949.71
  5. Step 5: Solve for x
    x = 69,817,376,949.71/302,969.37
  6. Step 6: Final answer
    x = 230,443.68

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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.