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Finding the Fourth Proportional to 300,165.23, 450,315 and 158,077.40

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Solution

The fourth proportional to 300,165.23, 450,315 and 158,077.40 is: 237,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,165.23 : 450,315 = 158,077.40 : x
  2. Step 2: Convert to fraction form
    300,165.23/450,315 = 158,077.40/x
  3. Step 3: Cross multiply
    300,165.23x = 450,315 × 158,077.40
  4. Step 4: Simplify right side
    300,165.23x = 71,184,622,129.43
  5. Step 5: Solve for x
    x = 71,184,622,129.43/300,165.23
  6. Step 6: Final answer
    x = 237,151.46

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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.