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Finding the Fourth Proportional to 386,392.31, 533,254.26 and 214,365.71

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Solution

The fourth proportional to 386,392.31, 533,254.26 and 214,365.71 is: 295,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,392.31 : 533,254.26 = 214,365.71 : x
  2. Step 2: Convert to fraction form
    386,392.31/533,254.26 = 214,365.71/x
  3. Step 3: Cross multiply
    386,392.31x = 533,254.26 × 214,365.71
  4. Step 4: Simplify right side
    386,392.31x = 114,311,424,317.33
  5. Step 5: Solve for x
    x = 114,311,424,317.33/386,392.31
  6. Step 6: Final answer
    x = 295,842.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.