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Finding the Fourth Proportional to 395,763.85, 546,154.59 and 214,475.78

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Solution

The fourth proportional to 395,763.85, 546,154.59 and 214,475.78 is: 295,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,763.85 : 546,154.59 = 214,475.78 : x
  2. Step 2: Convert to fraction form
    395,763.85/546,154.59 = 214,475.78/x
  3. Step 3: Cross multiply
    395,763.85x = 546,154.59 × 214,475.78
  4. Step 4: Simplify right side
    395,763.85x = 117,136,931,983.84
  5. Step 5: Solve for x
    x = 117,136,931,983.84/395,763.85
  6. Step 6: Final answer
    x = 295,976.83

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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.