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Finding the Fourth Proportional to 395,856, 546,281.28 and 217,008

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Solution

The fourth proportional to 395,856, 546,281.28 and 217,008 is: 299,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,856 : 546,281.28 = 217,008 : x
  2. Step 2: Convert to fraction form
    395,856/546,281.28 = 217,008/x
  3. Step 3: Cross multiply
    395,856x = 546,281.28 × 217,008
  4. Step 4: Simplify right side
    395,856x = 118,547,408,010.24
  5. Step 5: Solve for x
    x = 118,547,408,010.24/395,856
  6. Step 6: Final answer
    x = 299,471.04

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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.