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Finding the Fourth Proportional to 312,485.23, 468,749.92 and 154,671.31

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Solution

The fourth proportional to 312,485.23, 468,749.92 and 154,671.31 is: 232,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,485.23 : 468,749.92 = 154,671.31 : x
  2. Step 2: Convert to fraction form
    312,485.23/468,749.92 = 154,671.31/x
  3. Step 3: Cross multiply
    312,485.23x = 468,749.92 × 154,671.31
  4. Step 4: Simplify right side
    312,485.23x = 72,502,164,188.80
  5. Step 5: Solve for x
    x = 72,502,164,188.80/312,485.23
  6. Step 6: Final answer
    x = 232,017.89

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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.