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Finding the Fourth Proportional to 277,305.72, 414,864.15 and 210,031.60

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Solution

The fourth proportional to 277,305.72, 414,864.15 and 210,031.60 is: 314,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,305.72 : 414,864.15 = 210,031.60 : x
  2. Step 2: Convert to fraction form
    277,305.72/414,864.15 = 210,031.60/x
  3. Step 3: Cross multiply
    277,305.72x = 414,864.15 × 210,031.60
  4. Step 4: Simplify right side
    277,305.72x = 87,134,581,207.14
  5. Step 5: Solve for x
    x = 87,134,581,207.14/277,305.72
  6. Step 6: Final answer
    x = 314,218.48

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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.