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Finding the Fourth Proportional to 298,005.92, 411,248.64 and 162,039.76

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Solution

The fourth proportional to 298,005.92, 411,248.64 and 162,039.76 is: 223,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,005.92 : 411,248.64 = 162,039.76 : x
  2. Step 2: Convert to fraction form
    298,005.92/411,248.64 = 162,039.76/x
  3. Step 3: Cross multiply
    298,005.92x = 411,248.64 × 162,039.76
  4. Step 4: Simplify right side
    298,005.92x = 66,638,630,505.45
  5. Step 5: Solve for x
    x = 66,638,630,505.45/298,005.92
  6. Step 6: Final answer
    x = 223,615.12

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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.