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Finding the Fourth Proportional to 328,045.90, 492,068.85 and 209,850.70

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Solution

The fourth proportional to 328,045.90, 492,068.85 and 209,850.70 is: 314,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,045.90 : 492,068.85 = 209,850.70 : x
  2. Step 2: Convert to fraction form
    328,045.90/492,068.85 = 209,850.70/x
  3. Step 3: Cross multiply
    328,045.90x = 492,068.85 × 209,850.70
  4. Step 4: Simplify right side
    328,045.90x = 103,260,992,620.70
  5. Step 5: Solve for x
    x = 103,260,992,620.70/328,045.90
  6. Step 6: Final answer
    x = 314,776.05

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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.