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Finding the Fourth Proportional to 340,580.25, 470,015.33 and 189,677.25

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Solution

The fourth proportional to 340,580.25, 470,015.33 and 189,677.25 is: 261,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,580.25 : 470,015.33 = 189,677.25 : x
  2. Step 2: Convert to fraction form
    340,580.25/470,015.33 = 189,677.25/x
  3. Step 3: Cross multiply
    340,580.25x = 470,015.33 × 189,677.25
  4. Step 4: Simplify right side
    340,580.25x = 89,151,214,303.86
  5. Step 5: Solve for x
    x = 89,151,214,303.86/340,580.25
  6. Step 6: Final answer
    x = 261,762.72

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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.