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Finding the Fourth Proportional to 505,689.26, 758,563.06 and 190,148.90

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Solution

The fourth proportional to 505,689.26, 758,563.06 and 190,148.90 is: 285,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,689.26 : 758,563.06 = 190,148.90 : x
  2. Step 2: Convert to fraction form
    505,689.26/758,563.06 = 190,148.90/x
  3. Step 3: Cross multiply
    505,689.26x = 758,563.06 × 190,148.90
  4. Step 4: Simplify right side
    505,689.26x = 144,239,931,439.63
  5. Step 5: Solve for x
    x = 144,239,931,439.63/505,689.26
  6. Step 6: Final answer
    x = 285,234.32

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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.