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Finding the Fourth Proportional to 298,471.29, 411,869.58 and 169,412.40

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Solution

The fourth proportional to 298,471.29, 411,869.58 and 169,412.40 is: 233,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,471.29 : 411,869.58 = 169,412.40 : x
  2. Step 2: Convert to fraction form
    298,471.29/411,869.58 = 169,412.40/x
  3. Step 3: Cross multiply
    298,471.29x = 411,869.58 × 169,412.40
  4. Step 4: Simplify right side
    298,471.29x = 69,775,814,034.79
  5. Step 5: Solve for x
    x = 69,775,814,034.79/298,471.29
  6. Step 6: Final answer
    x = 233,777.31

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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.