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Finding the Fourth Proportional to 325,709.40, 488,564.10 and 115,368.60

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Solution

The fourth proportional to 325,709.40, 488,564.10 and 115,368.60 is: 173,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,709.40 : 488,564.10 = 115,368.60 : x
  2. Step 2: Convert to fraction form
    325,709.40/488,564.10 = 115,368.60/x
  3. Step 3: Cross multiply
    325,709.40x = 488,564.10 × 115,368.60
  4. Step 4: Simplify right side
    325,709.40x = 56,364,956,227.26
  5. Step 5: Solve for x
    x = 56,364,956,227.26/325,709.40
  6. Step 6: Final answer
    x = 173,052.90

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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.