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Finding the Fourth Proportional to 395,427.60, 593,141.40 and 392,803.20

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Solution

The fourth proportional to 395,427.60, 593,141.40 and 392,803.20 is: 589,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,427.60 : 593,141.40 = 392,803.20 : x
  2. Step 2: Convert to fraction form
    395,427.60/593,141.40 = 392,803.20/x
  3. Step 3: Cross multiply
    395,427.60x = 593,141.40 × 392,803.20
  4. Step 4: Simplify right side
    395,427.60x = 232,987,839,972.48
  5. Step 5: Solve for x
    x = 232,987,839,972.48/395,427.60
  6. Step 6: Final answer
    x = 589,204.80

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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.