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Finding the Fourth Proportional to 470,774.60, 705,902.70 and 189,974.60

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Solution

The fourth proportional to 470,774.60, 705,902.70 and 189,974.60 is: 284,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,774.60 : 705,902.70 = 189,974.60 : x
  2. Step 2: Convert to fraction form
    470,774.60/705,902.70 = 189,974.60/x
  3. Step 3: Cross multiply
    470,774.60x = 705,902.70 × 189,974.60
  4. Step 4: Simplify right side
    470,774.60x = 134,103,583,071.42
  5. Step 5: Solve for x
    x = 134,103,583,071.42/470,774.60
  6. Step 6: Final answer
    x = 284,857.30

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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.