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Finding the Fourth Proportional to 291,995.12, 402,949.50 and 164,711.72

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Solution

The fourth proportional to 291,995.12, 402,949.50 and 164,711.72 is: 227,300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,995.12 : 402,949.50 = 164,711.72 : x
  2. Step 2: Convert to fraction form
    291,995.12/402,949.50 = 164,711.72/x
  3. Step 3: Cross multiply
    291,995.12x = 402,949.50 × 164,711.72
  4. Step 4: Simplify right side
    291,995.12x = 66,370,505,218.14
  5. Step 5: Solve for x
    x = 66,370,505,218.14/291,995.12
  6. Step 6: Final answer
    x = 227,300.05

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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.