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Finding the Fourth Proportional to 395,859, 546,285.42 and 217,011

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Solution

The fourth proportional to 395,859, 546,285.42 and 217,011 is: 299,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,859 : 546,285.42 = 217,011 : x
  2. Step 2: Convert to fraction form
    395,859/546,285.42 = 217,011/x
  3. Step 3: Cross multiply
    395,859x = 546,285.42 × 217,011
  4. Step 4: Simplify right side
    395,859x = 118,549,945,279.62
  5. Step 5: Solve for x
    x = 118,549,945,279.62/395,859
  6. Step 6: Final answer
    x = 299,475.18

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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.