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Finding the Fourth Proportional to 380,812.68, 570,657.48 and 212,100.66

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Solution

The fourth proportional to 380,812.68, 570,657.48 and 212,100.66 is: 317,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,812.68 : 570,657.48 = 212,100.66 : x
  2. Step 2: Convert to fraction form
    380,812.68/570,657.48 = 212,100.66/x
  3. Step 3: Cross multiply
    380,812.68x = 570,657.48 × 212,100.66
  4. Step 4: Simplify right side
    380,812.68x = 121,036,828,141.94
  5. Step 5: Solve for x
    x = 121,036,828,141.94/380,812.68
  6. Step 6: Final answer
    x = 317,838.23

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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.