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Finding the Fourth Proportional to 395,864.82, 546,300.45 and 214,582.77

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Solution

The fourth proportional to 395,864.82, 546,300.45 and 214,582.77 is: 296,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,864.82 : 546,300.45 = 214,582.77 : x
  2. Step 2: Convert to fraction form
    395,864.82/546,300.45 = 214,582.77/x
  3. Step 3: Cross multiply
    395,864.82x = 546,300.45 × 214,582.77
  4. Step 4: Simplify right side
    395,864.82x = 117,226,663,813.25
  5. Step 5: Solve for x
    x = 117,226,663,813.25/395,864.82
  6. Step 6: Final answer
    x = 296,128.02

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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.