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Finding the Fourth Proportional to 298,038.38, 411,294.90 and 162,073.80

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Solution

The fourth proportional to 298,038.38, 411,294.90 and 162,073.80 is: 223,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,038.38 : 411,294.90 = 162,073.80 : x
  2. Step 2: Convert to fraction form
    298,038.38/411,294.90 = 162,073.80/x
  3. Step 3: Cross multiply
    298,038.38x = 411,294.90 × 162,073.80
  4. Step 4: Simplify right side
    298,038.38x = 66,660,127,971.40
  5. Step 5: Solve for x
    x = 66,660,127,971.40/298,038.38
  6. Step 6: Final answer
    x = 223,662.90

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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.