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Finding the Fourth Proportional to 386,212.56, 532,973.13 and 214,130.07

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Solution

The fourth proportional to 386,212.56, 532,973.13 and 214,130.07 is: 295,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,212.56 : 532,973.13 = 214,130.07 : x
  2. Step 2: Convert to fraction form
    386,212.56/532,973.13 = 214,130.07/x
  3. Step 3: Cross multiply
    386,212.56x = 532,973.13 × 214,130.07
  4. Step 4: Simplify right side
    386,212.56x = 114,125,573,635.02
  5. Step 5: Solve for x
    x = 114,125,573,635.02/386,212.56
  6. Step 6: Final answer
    x = 295,499.38

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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.