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Finding the Fourth Proportional to 340,471.60, 510,707.40 and 269,969.20

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Solution

The fourth proportional to 340,471.60, 510,707.40 and 269,969.20 is: 404,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,471.60 : 510,707.40 = 269,969.20 : x
  2. Step 2: Convert to fraction form
    340,471.60/510,707.40 = 269,969.20/x
  3. Step 3: Cross multiply
    340,471.60x = 510,707.40 × 269,969.20
  4. Step 4: Simplify right side
    340,471.60x = 137,875,268,212.08
  5. Step 5: Solve for x
    x = 137,875,268,212.08/340,471.60
  6. Step 6: Final answer
    x = 404,953.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.