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Finding the Fourth Proportional to 523,282, 785,040 and 190,858

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Solution

The fourth proportional to 523,282, 785,040 and 190,858 is: 286,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,282 : 785,040 = 190,858 : x
  2. Step 2: Convert to fraction form
    523,282/785,040 = 190,858/x
  3. Step 3: Cross multiply
    523,282x = 785,040 × 190,858
  4. Step 4: Simplify right side
    523,282x = 149,831,164,320
  5. Step 5: Solve for x
    x = 149,831,164,320/523,282
  6. Step 6: Final answer
    x = 286,329.67

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