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Finding the Fourth Proportional to 311,962, 430,507.80 and 168,721.86

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Solution

The fourth proportional to 311,962, 430,507.80 and 168,721.86 is: 232,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,962 : 430,507.80 = 168,721.86 : x
  2. Step 2: Convert to fraction form
    311,962/430,507.80 = 168,721.86/x
  3. Step 3: Cross multiply
    311,962x = 430,507.80 × 168,721.86
  4. Step 4: Simplify right side
    311,962x = 72,636,076,760.51
  5. Step 5: Solve for x
    x = 72,636,076,760.51/311,962
  6. Step 6: Final answer
    x = 232,836.30

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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.