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Finding the Fourth Proportional to 253,756.47, 380,513.16 and 85,230

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Solution

The fourth proportional to 253,756.47, 380,513.16 and 85,230 is: 127,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,756.47 : 380,513.16 = 85,230 : x
  2. Step 2: Convert to fraction form
    253,756.47/380,513.16 = 85,230/x
  3. Step 3: Cross multiply
    253,756.47x = 380,513.16 × 85,230
  4. Step 4: Simplify right side
    253,756.47x = 32,431,136,626.80
  5. Step 5: Solve for x
    x = 32,431,136,626.80/253,756.47
  6. Step 6: Final answer
    x = 127,804.18

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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.