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Finding the Fourth Proportional to 328,194.80, 492,401.40 and 117,849.20

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Solution

The fourth proportional to 328,194.80, 492,401.40 and 117,849.20 is: 176,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,194.80 : 492,401.40 = 117,849.20 : x
  2. Step 2: Convert to fraction form
    328,194.80/492,401.40 = 117,849.20/x
  3. Step 3: Cross multiply
    328,194.80x = 492,401.40 × 117,849.20
  4. Step 4: Simplify right side
    328,194.80x = 58,029,111,068.88
  5. Step 5: Solve for x
    x = 58,029,111,068.88/328,194.80
  6. Step 6: Final answer
    x = 176,813.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.