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Finding the Fourth Proportional to 312,153.22, 430,772.59 and 168,913.27

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Solution

The fourth proportional to 312,153.22, 430,772.59 and 168,913.27 is: 233,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,153.22 : 430,772.59 = 168,913.27 : x
  2. Step 2: Convert to fraction form
    312,153.22/430,772.59 = 168,913.27/x
  3. Step 3: Cross multiply
    312,153.22x = 430,772.59 × 168,913.27
  4. Step 4: Simplify right side
    312,153.22x = 72,763,206,803.27
  5. Step 5: Solve for x
    x = 72,763,206,803.27/312,153.22
  6. Step 6: Final answer
    x = 233,100.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.