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Finding the Fourth Proportional to 319,268.40, 478,835.40 and 161,348.40

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Solution

The fourth proportional to 319,268.40, 478,835.40 and 161,348.40 is: 241,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,268.40 : 478,835.40 = 161,348.40 : x
  2. Step 2: Convert to fraction form
    319,268.40/478,835.40 = 161,348.40/x
  3. Step 3: Cross multiply
    319,268.40x = 478,835.40 × 161,348.40
  4. Step 4: Simplify right side
    319,268.40x = 77,259,325,653.36
  5. Step 5: Solve for x
    x = 77,259,325,653.36/319,268.40
  6. Step 6: Final answer
    x = 241,988.64

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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.