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Finding the Fourth Proportional to 395,864, 546,292.32 and 217,016

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Solution

The fourth proportional to 395,864, 546,292.32 and 217,016 is: 299,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,864 : 546,292.32 = 217,016 : x
  2. Step 2: Convert to fraction form
    395,864/546,292.32 = 217,016/x
  3. Step 3: Cross multiply
    395,864x = 546,292.32 × 217,016
  4. Step 4: Simplify right side
    395,864x = 118,554,174,117.12
  5. Step 5: Solve for x
    x = 118,554,174,117.12/395,864
  6. Step 6: Final answer
    x = 299,482.08

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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.