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Finding the Fourth Proportional to 393,927.06, 590,841.24 and 109,638.96

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Solution

The fourth proportional to 393,927.06, 590,841.24 and 109,638.96 is: 164,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,927.06 : 590,841.24 = 109,638.96 : x
  2. Step 2: Convert to fraction form
    393,927.06/590,841.24 = 109,638.96/x
  3. Step 3: Cross multiply
    393,927.06x = 590,841.24 × 109,638.96
  4. Step 4: Simplify right side
    393,927.06x = 64,779,219,078.71
  5. Step 5: Solve for x
    x = 64,779,219,078.71/393,927.06
  6. Step 6: Final answer
    x = 164,444.70

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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.