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Finding the Fourth Proportional to 285,313.07, 427,338.79 and 195,142.07

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Solution

The fourth proportional to 285,313.07, 427,338.79 and 195,142.07 is: 292,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,313.07 : 427,338.79 = 195,142.07 : x
  2. Step 2: Convert to fraction form
    285,313.07/427,338.79 = 195,142.07/x
  3. Step 3: Cross multiply
    285,313.07x = 427,338.79 × 195,142.07
  4. Step 4: Simplify right side
    285,313.07x = 83,391,776,071.90
  5. Step 5: Solve for x
    x = 83,391,776,071.90/285,313.07
  6. Step 6: Final answer
    x = 292,281.65

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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.