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Finding the Fourth Proportional to 311,902.47, 430,425.45 and 168,662.52

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Solution

The fourth proportional to 311,902.47, 430,425.45 and 168,662.52 is: 232,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,902.47 : 430,425.45 = 168,662.52 : x
  2. Step 2: Convert to fraction form
    311,902.47/430,425.45 = 168,662.52/x
  3. Step 3: Cross multiply
    311,902.47x = 430,425.45 × 168,662.52
  4. Step 4: Simplify right side
    311,902.47x = 72,596,641,069.13
  5. Step 5: Solve for x
    x = 72,596,641,069.13/311,902.47
  6. Step 6: Final answer
    x = 232,754.30

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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.