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Finding the Fourth Proportional to 393,978.08, 590,558.40 and 183,442.88

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Solution

The fourth proportional to 393,978.08, 590,558.40 and 183,442.88 is: 274,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,978.08 : 590,558.40 = 183,442.88 : x
  2. Step 2: Convert to fraction form
    393,978.08/590,558.40 = 183,442.88/x
  3. Step 3: Cross multiply
    393,978.08x = 590,558.40 × 183,442.88
  4. Step 4: Simplify right side
    393,978.08x = 108,333,733,704.19
  5. Step 5: Solve for x
    x = 108,333,733,704.19/393,978.08
  6. Step 6: Final answer
    x = 274,974.01

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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.