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Finding the Fourth Proportional to 304,645.81, 420,434.89 and 168,692.41

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Solution

The fourth proportional to 304,645.81, 420,434.89 and 168,692.41 is: 232,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,645.81 : 420,434.89 = 168,692.41 : x
  2. Step 2: Convert to fraction form
    304,645.81/420,434.89 = 168,692.41/x
  3. Step 3: Cross multiply
    304,645.81x = 420,434.89 × 168,692.41
  4. Step 4: Simplify right side
    304,645.81x = 70,924,174,842.18
  5. Step 5: Solve for x
    x = 70,924,174,842.18/304,645.81
  6. Step 6: Final answer
    x = 232,808.63

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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.