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Finding the Fourth Proportional to 311,532.30, 429,914.30 and 168,292.31

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Solution

The fourth proportional to 311,532.30, 429,914.30 and 168,292.31 is: 232,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,532.30 : 429,914.30 = 168,292.31 : x
  2. Step 2: Convert to fraction form
    311,532.30/429,914.30 = 168,292.31/x
  3. Step 3: Cross multiply
    311,532.30x = 429,914.30 × 168,292.31
  4. Step 4: Simplify right side
    311,532.30x = 72,351,267,658.00
  5. Step 5: Solve for x
    x = 72,351,267,658.00/311,532.30
  6. Step 6: Final answer
    x = 232,243.23

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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.