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Finding the Fourth Proportional to 393,700, 590,550 and 127,683.04

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Solution

The fourth proportional to 393,700, 590,550 and 127,683.04 is: 191,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,700 : 590,550 = 127,683.04 : x
  2. Step 2: Convert to fraction form
    393,700/590,550 = 127,683.04/x
  3. Step 3: Cross multiply
    393,700x = 590,550 × 127,683.04
  4. Step 4: Simplify right side
    393,700x = 75,403,219,272
  5. Step 5: Solve for x
    x = 75,403,219,272/393,700
  6. Step 6: Final answer
    x = 191,524.56

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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.