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Finding the Fourth Proportional to 312,690.78, 469,663.85 and 186,577.16

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Solution

The fourth proportional to 312,690.78, 469,663.85 and 186,577.16 is: 280,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,690.78 : 469,663.85 = 186,577.16 : x
  2. Step 2: Convert to fraction form
    312,690.78/469,663.85 = 186,577.16/x
  3. Step 3: Cross multiply
    312,690.78x = 469,663.85 × 186,577.16
  4. Step 4: Simplify right side
    312,690.78x = 87,628,545,405.79
  5. Step 5: Solve for x
    x = 87,628,545,405.79/312,690.78
  6. Step 6: Final answer
    x = 280,240.26

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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.