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Finding the Fourth Proportional to 312,047, 430,622.52 and 168,804.98

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Solution

The fourth proportional to 312,047, 430,622.52 and 168,804.98 is: 232,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,047 : 430,622.52 = 168,804.98 : x
  2. Step 2: Convert to fraction form
    312,047/430,622.52 = 168,804.98/x
  3. Step 3: Cross multiply
    312,047x = 430,622.52 × 168,804.98
  4. Step 4: Simplify right side
    312,047x = 72,691,225,876.15
  5. Step 5: Solve for x
    x = 72,691,225,876.15/312,047
  6. Step 6: Final answer
    x = 232,949.61

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1.5x scale

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.