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Finding the Fourth Proportional to 420,200.97, 630,339.93 and 167,420.22

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Solution

The fourth proportional to 420,200.97, 630,339.93 and 167,420.22 is: 251,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,200.97 : 630,339.93 = 167,420.22 : x
  2. Step 2: Convert to fraction form
    420,200.97/630,339.93 = 167,420.22/x
  3. Step 3: Cross multiply
    420,200.97x = 630,339.93 × 167,420.22
  4. Step 4: Simplify right side
    420,200.97x = 105,531,649,755.39
  5. Step 5: Solve for x
    x = 105,531,649,755.39/420,200.97
  6. Step 6: Final answer
    x = 251,145.66

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1.5x scale

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.