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Finding the Fourth Proportional to 285,074.51, 427,485.39 and 151,929.95

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Solution

The fourth proportional to 285,074.51, 427,485.39 and 151,929.95 is: 227,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,074.51 : 427,485.39 = 151,929.95 : x
  2. Step 2: Convert to fraction form
    285,074.51/427,485.39 = 151,929.95/x
  3. Step 3: Cross multiply
    285,074.51x = 427,485.39 × 151,929.95
  4. Step 4: Simplify right side
    285,074.51x = 64,947,831,791.00
  5. Step 5: Solve for x
    x = 64,947,831,791.00/285,074.51
  6. Step 6: Final answer
    x = 227,827.57

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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.