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Finding the Fourth Proportional to 395,858, 546,284.04 and 217,010

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Solution

The fourth proportional to 395,858, 546,284.04 and 217,010 is: 299,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,858 : 546,284.04 = 217,010 : x
  2. Step 2: Convert to fraction form
    395,858/546,284.04 = 217,010/x
  3. Step 3: Cross multiply
    395,858x = 546,284.04 × 217,010
  4. Step 4: Simplify right side
    395,858x = 118,549,099,520.40
  5. Step 5: Solve for x
    x = 118,549,099,520.40/395,858
  6. Step 6: Final answer
    x = 299,473.80

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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.