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Finding the Fourth Proportional to 302,959.02, 418,064.40 and 166,985.48

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Solution

The fourth proportional to 302,959.02, 418,064.40 and 166,985.48 is: 230,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,959.02 : 418,064.40 = 166,985.48 : x
  2. Step 2: Convert to fraction form
    302,959.02/418,064.40 = 166,985.48/x
  3. Step 3: Cross multiply
    302,959.02x = 418,064.40 × 166,985.48
  4. Step 4: Simplify right side
    302,959.02x = 69,810,684,504.91
  5. Step 5: Solve for x
    x = 69,810,684,504.91/302,959.02
  6. Step 6: Final answer
    x = 230,429.46

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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.