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Finding the Fourth Proportional to 470,286.72, 705,281.04 and 154,658.88

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Solution

The fourth proportional to 470,286.72, 705,281.04 and 154,658.88 is: 231,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,286.72 : 705,281.04 = 154,658.88 : x
  2. Step 2: Convert to fraction form
    470,286.72/705,281.04 = 154,658.88/x
  3. Step 3: Cross multiply
    470,286.72x = 705,281.04 × 154,658.88
  4. Step 4: Simplify right side
    470,286.72x = 109,077,975,731.64
  5. Step 5: Solve for x
    x = 109,077,975,731.64/470,286.72
  6. Step 6: Final answer
    x = 231,939.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.