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Finding the Fourth Proportional to 395,852, 546,310.32 and 217,038.56

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Solution

The fourth proportional to 395,852, 546,310.32 and 217,038.56 is: 299,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,852 : 546,310.32 = 217,038.56 : x
  2. Step 2: Convert to fraction form
    395,852/546,310.32 = 217,038.56/x
  3. Step 3: Cross multiply
    395,852x = 546,310.32 × 217,038.56
  4. Step 4: Simplify right side
    395,852x = 118,570,405,165.94
  5. Step 5: Solve for x
    x = 118,570,405,165.94/395,852
  6. Step 6: Final answer
    x = 299,532.16

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1.5x scale

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.