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Finding the Fourth Proportional to 386,777.43, 533,744.42 and 214,685.28

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Solution

The fourth proportional to 386,777.43, 533,744.42 and 214,685.28 is: 296,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,777.43 : 533,744.42 = 214,685.28 : x
  2. Step 2: Convert to fraction form
    386,777.43/533,744.42 = 214,685.28/x
  3. Step 3: Cross multiply
    386,777.43x = 533,744.42 × 214,685.28
  4. Step 4: Simplify right side
    386,777.43x = 114,587,069,182.71
  5. Step 5: Solve for x
    x = 114,587,069,182.71/386,777.43
  6. Step 6: Final answer
    x = 296,261.00

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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.