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Finding the Fourth Proportional to 291,316.32, 402,054.84 and 164,016.72

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Solution

The fourth proportional to 291,316.32, 402,054.84 and 164,016.72 is: 226,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,316.32 : 402,054.84 = 164,016.72 : x
  2. Step 2: Convert to fraction form
    291,316.32/402,054.84 = 164,016.72/x
  3. Step 3: Cross multiply
    291,316.32x = 402,054.84 × 164,016.72
  4. Step 4: Simplify right side
    291,316.32x = 65,943,716,116.92
  5. Step 5: Solve for x
    x = 65,943,716,116.92/291,316.32
  6. Step 6: Final answer
    x = 226,364.65

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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.