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Finding the Fourth Proportional to 291,316.32, 402,054.80 and 164,016.80

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Solution

The fourth proportional to 291,316.32, 402,054.80 and 164,016.80 is: 226,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,316.32 : 402,054.80 = 164,016.80 : x
  2. Step 2: Convert to fraction form
    291,316.32/402,054.80 = 164,016.80/x
  3. Step 3: Cross multiply
    291,316.32x = 402,054.80 × 164,016.80
  4. Step 4: Simplify right side
    291,316.32x = 65,943,741,720.64
  5. Step 5: Solve for x
    x = 65,943,741,720.64/291,316.32
  6. Step 6: Final answer
    x = 226,364.74

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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.