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Finding the Fourth Proportional to 470,564.60, 705,846.90 and 189,937.40

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Solution

The fourth proportional to 470,564.60, 705,846.90 and 189,937.40 is: 284,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,564.60 : 705,846.90 = 189,937.40 : x
  2. Step 2: Convert to fraction form
    470,564.60/705,846.90 = 189,937.40/x
  3. Step 3: Cross multiply
    470,564.60x = 705,846.90 × 189,937.40
  4. Step 4: Simplify right side
    470,564.60x = 134,066,724,984.06
  5. Step 5: Solve for x
    x = 134,066,724,984.06/470,564.60
  6. Step 6: Final answer
    x = 284,906.10

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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.