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Finding the Fourth Proportional to 312,636.90, 469,583.06 and 186,523.19

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Solution

The fourth proportional to 312,636.90, 469,583.06 and 186,523.19 is: 280,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,636.90 : 469,583.06 = 186,523.19 : x
  2. Step 2: Convert to fraction form
    312,636.90/469,583.06 = 186,523.19/x
  3. Step 3: Cross multiply
    312,636.90x = 469,583.06 × 186,523.19
  4. Step 4: Simplify right side
    312,636.90x = 87,588,130,321.16
  5. Step 5: Solve for x
    x = 87,588,130,321.16/312,636.90
  6. Step 6: Final answer
    x = 280,159.28

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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.