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Finding the Fourth Proportional to 311,516.16, 429,892.08 and 168,276.24

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Solution

The fourth proportional to 311,516.16, 429,892.08 and 168,276.24 is: 232,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,516.16 : 429,892.08 = 168,276.24 : x
  2. Step 2: Convert to fraction form
    311,516.16/429,892.08 = 168,276.24/x
  3. Step 3: Cross multiply
    311,516.16x = 429,892.08 × 168,276.24
  4. Step 4: Simplify right side
    311,516.16x = 72,340,622,828.18
  5. Step 5: Solve for x
    x = 72,340,622,828.18/311,516.16
  6. Step 6: Final answer
    x = 232,221.09

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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.