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Finding the Fourth Proportional to 523,284, 785,043 and 190,860

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Solution

The fourth proportional to 523,284, 785,043 and 190,860 is: 286,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,284 : 785,043 = 190,860 : x
  2. Step 2: Convert to fraction form
    523,284/785,043 = 190,860/x
  3. Step 3: Cross multiply
    523,284x = 785,043 × 190,860
  4. Step 4: Simplify right side
    523,284x = 149,833,306,980
  5. Step 5: Solve for x
    x = 149,833,306,980/523,284
  6. Step 6: Final answer
    x = 286,332.67

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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.