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Finding the Fourth Proportional to 312,416.37, 468,308.94 and 123,009.63

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Solution

The fourth proportional to 312,416.37, 468,308.94 and 123,009.63 is: 184,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,416.37 : 468,308.94 = 123,009.63 : x
  2. Step 2: Convert to fraction form
    312,416.37/468,308.94 = 123,009.63/x
  3. Step 3: Cross multiply
    312,416.37x = 468,308.94 × 123,009.63
  4. Step 4: Simplify right side
    312,416.37x = 57,606,509,435.09
  5. Step 5: Solve for x
    x = 57,606,509,435.09/312,416.37
  6. Step 6: Final answer
    x = 184,390.18

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1.5x scale

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.