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Finding the Fourth Proportional to 285,403.30, 427,806.06 and 95,817.13

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Solution

The fourth proportional to 285,403.30, 427,806.06 and 95,817.13 is: 143,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,403.30 : 427,806.06 = 95,817.13 : x
  2. Step 2: Convert to fraction form
    285,403.30/427,806.06 = 95,817.13/x
  3. Step 3: Cross multiply
    285,403.30x = 427,806.06 × 95,817.13
  4. Step 4: Simplify right side
    285,403.30x = 40,991,148,865.81
  5. Step 5: Solve for x
    x = 40,991,148,865.81/285,403.30
  6. Step 6: Final answer
    x = 143,625.35

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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.