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Finding the Fourth Proportional to 470,939.67, 706,409.64 and 138,515.67

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Solution

The fourth proportional to 470,939.67, 706,409.64 and 138,515.67 is: 207,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,939.67 : 706,409.64 = 138,515.67 : x
  2. Step 2: Convert to fraction form
    470,939.67/706,409.64 = 138,515.67/x
  3. Step 3: Cross multiply
    470,939.67x = 706,409.64 × 138,515.67
  4. Step 4: Simplify right side
    470,939.67x = 97,848,804,579.06
  5. Step 5: Solve for x
    x = 97,848,804,579.06/470,939.67
  6. Step 6: Final answer
    x = 207,773.54

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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.