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Finding the Fourth Proportional to 410,917.50, 616,376.48 and 130,434.75

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Solution

The fourth proportional to 410,917.50, 616,376.48 and 130,434.75 is: 195,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,917.50 : 616,376.48 = 130,434.75 : x
  2. Step 2: Convert to fraction form
    410,917.50/616,376.48 = 130,434.75/x
  3. Step 3: Cross multiply
    410,917.50x = 616,376.48 × 130,434.75
  4. Step 4: Simplify right side
    410,917.50x = 80,396,911,422.51
  5. Step 5: Solve for x
    x = 80,396,911,422.51/410,917.50
  6. Step 6: Final answer
    x = 195,652.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.