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Finding the Fourth Proportional to 494,561.60, 742,036.80 and 194,991.20

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Solution

The fourth proportional to 494,561.60, 742,036.80 and 194,991.20 is: 292,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,561.60 : 742,036.80 = 194,991.20 : x
  2. Step 2: Convert to fraction form
    494,561.60/742,036.80 = 194,991.20/x
  3. Step 3: Cross multiply
    494,561.60x = 742,036.80 × 194,991.20
  4. Step 4: Simplify right side
    494,561.60x = 144,690,646,076.16
  5. Step 5: Solve for x
    x = 144,690,646,076.16/494,561.60
  6. Step 6: Final answer
    x = 292,563.45

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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.