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Finding the Fourth Proportional to 312,767.36, 469,172.16 and 154,953.44

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Solution

The fourth proportional to 312,767.36, 469,172.16 and 154,953.44 is: 232,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,767.36 : 469,172.16 = 154,953.44 : x
  2. Step 2: Convert to fraction form
    312,767.36/469,172.16 = 154,953.44/x
  3. Step 3: Cross multiply
    312,767.36x = 469,172.16 × 154,953.44
  4. Step 4: Simplify right side
    312,767.36x = 72,699,840,144.23
  5. Step 5: Solve for x
    x = 72,699,840,144.23/312,767.36
  6. Step 6: Final answer
    x = 232,440.62

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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.