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Finding the Fourth Proportional to 298,293.86, 411,647.28 and 162,328.88

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Solution

The fourth proportional to 298,293.86, 411,647.28 and 162,328.88 is: 224,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,293.86 : 411,647.28 = 162,328.88 : x
  2. Step 2: Convert to fraction form
    298,293.86/411,647.28 = 162,328.88/x
  3. Step 3: Cross multiply
    298,293.86x = 411,647.28 × 162,328.88
  4. Step 4: Simplify right side
    298,293.86x = 66,822,241,917.45
  5. Step 5: Solve for x
    x = 66,822,241,917.45/298,293.86
  6. Step 6: Final answer
    x = 224,014.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.