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Finding the Fourth Proportional to 312,737.10, 469,238.49 and 154,968.54

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Solution

The fourth proportional to 312,737.10, 469,238.49 and 154,968.54 is: 232,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,737.10 : 469,238.49 = 154,968.54 : x
  2. Step 2: Convert to fraction form
    312,737.10/469,238.49 = 154,968.54/x
  3. Step 3: Cross multiply
    312,737.10x = 469,238.49 × 154,968.54
  4. Step 4: Simplify right side
    312,737.10x = 72,717,203,707.10
  5. Step 5: Solve for x
    x = 72,717,203,707.10/312,737.10
  6. Step 6: Final answer
    x = 232,518.64

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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.