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Finding the Fourth Proportional to 302,951.34, 418,075.64 and 166,990.50

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Solution

The fourth proportional to 302,951.34, 418,075.64 and 166,990.50 is: 230,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,951.34 : 418,075.64 = 166,990.50 : x
  2. Step 2: Convert to fraction form
    302,951.34/418,075.64 = 166,990.50/x
  3. Step 3: Cross multiply
    302,951.34x = 418,075.64 × 166,990.50
  4. Step 4: Simplify right side
    302,951.34x = 69,814,660,161.42
  5. Step 5: Solve for x
    x = 69,814,660,161.42/302,951.34
  6. Step 6: Final answer
    x = 230,448.43

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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.