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Finding the Fourth Proportional to 471,389.81, 707,091.20 and 134,430.50

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Solution

The fourth proportional to 471,389.81, 707,091.20 and 134,430.50 is: 201,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,389.81 : 707,091.20 = 134,430.50 : x
  2. Step 2: Convert to fraction form
    471,389.81/707,091.20 = 134,430.50/x
  3. Step 3: Cross multiply
    471,389.81x = 707,091.20 × 134,430.50
  4. Step 4: Simplify right side
    471,389.81x = 95,054,620,026.14
  5. Step 5: Solve for x
    x = 95,054,620,026.14/471,389.81
  6. Step 6: Final answer
    x = 201,647.59

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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.