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Finding the Fourth Proportional to 298,004.68, 411,247.19 and 162,038.55

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Solution

The fourth proportional to 298,004.68, 411,247.19 and 162,038.55 is: 223,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,004.68 : 411,247.19 = 162,038.55 : x
  2. Step 2: Convert to fraction form
    298,004.68/411,247.19 = 162,038.55/x
  3. Step 3: Cross multiply
    298,004.68x = 411,247.19 × 162,038.55
  4. Step 4: Simplify right side
    298,004.68x = 66,637,896,302.94
  5. Step 5: Solve for x
    x = 66,637,896,302.94/298,004.68
  6. Step 6: Final answer
    x = 223,613.59

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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.