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Finding the Fourth Proportional to 313,112.32, 469,724.64 and 146,896

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Solution

The fourth proportional to 313,112.32, 469,724.64 and 146,896 is: 220,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,112.32 : 469,724.64 = 146,896 : x
  2. Step 2: Convert to fraction form
    313,112.32/469,724.64 = 146,896/x
  3. Step 3: Cross multiply
    313,112.32x = 469,724.64 × 146,896
  4. Step 4: Simplify right side
    313,112.32x = 69,000,670,717.44
  5. Step 5: Solve for x
    x = 69,000,670,717.44/313,112.32
  6. Step 6: Final answer
    x = 220,370.35

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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.