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Finding the Fourth Proportional to 419,967.06, 630,077.76 and 150,059.85

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Solution

The fourth proportional to 419,967.06, 630,077.76 and 150,059.85 is: 225,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,967.06 : 630,077.76 = 150,059.85 : x
  2. Step 2: Convert to fraction form
    419,967.06/630,077.76 = 150,059.85/x
  3. Step 3: Cross multiply
    419,967.06x = 630,077.76 × 150,059.85
  4. Step 4: Simplify right side
    419,967.06x = 94,549,374,153.94
  5. Step 5: Solve for x
    x = 94,549,374,153.94/419,967.06
  6. Step 6: Final answer
    x = 225,135.21

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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.