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Finding the Fourth Proportional to 470,859.07, 706,212.94 and 129,222.68

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Solution

The fourth proportional to 470,859.07, 706,212.94 and 129,222.68 is: 193,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,859.07 : 706,212.94 = 129,222.68 : x
  2. Step 2: Convert to fraction form
    470,859.07/706,212.94 = 129,222.68/x
  3. Step 3: Cross multiply
    470,859.07x = 706,212.94 × 129,222.68
  4. Step 4: Simplify right side
    470,859.07x = 91,258,724,580.30
  5. Step 5: Solve for x
    x = 91,258,724,580.30/470,859.07
  6. Step 6: Final answer
    x = 193,813.25

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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.