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Finding the Fourth Proportional to 551,894.20, 826,091.70 and 394,430.20

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Solution

The fourth proportional to 551,894.20, 826,091.70 and 394,430.20 is: 590,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,894.20 : 826,091.70 = 394,430.20 : x
  2. Step 2: Convert to fraction form
    551,894.20/826,091.70 = 394,430.20/x
  3. Step 3: Cross multiply
    551,894.20x = 826,091.70 × 394,430.20
  4. Step 4: Simplify right side
    551,894.20x = 325,835,514,449.34
  5. Step 5: Solve for x
    x = 325,835,514,449.34/551,894.20
  6. Step 6: Final answer
    x = 590,394.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.