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Finding the Fourth Proportional to 311,987.64, 430,542.98 and 168,747.69

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Solution

The fourth proportional to 311,987.64, 430,542.98 and 168,747.69 is: 232,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,987.64 : 430,542.98 = 168,747.69 : x
  2. Step 2: Convert to fraction form
    311,987.64/430,542.98 = 168,747.69/x
  3. Step 3: Cross multiply
    311,987.64x = 430,542.98 × 168,747.69
  4. Step 4: Simplify right side
    311,987.64x = 72,653,133,320.72
  5. Step 5: Solve for x
    x = 72,653,133,320.72/311,987.64
  6. Step 6: Final answer
    x = 232,871.83

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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.