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Finding the Fourth Proportional to 254,961.30, 382,113.90 and 155,015.40

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Solution

The fourth proportional to 254,961.30, 382,113.90 and 155,015.40 is: 232,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,961.30 : 382,113.90 = 155,015.40 : x
  2. Step 2: Convert to fraction form
    254,961.30/382,113.90 = 155,015.40/x
  3. Step 3: Cross multiply
    254,961.30x = 382,113.90 × 155,015.40
  4. Step 4: Simplify right side
    254,961.30x = 59,233,539,054.06
  5. Step 5: Solve for x
    x = 59,233,539,054.06/254,961.30
  6. Step 6: Final answer
    x = 232,323.65

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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.