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Finding the Fourth Proportional to 511,272.90, 705,609.36 and 307,390.50

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Solution

The fourth proportional to 511,272.90, 705,609.36 and 307,390.50 is: 424,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,272.90 : 705,609.36 = 307,390.50 : x
  2. Step 2: Convert to fraction form
    511,272.90/705,609.36 = 307,390.50/x
  3. Step 3: Cross multiply
    511,272.90x = 705,609.36 × 307,390.50
  4. Step 4: Simplify right side
    511,272.90x = 216,897,613,975.08
  5. Step 5: Solve for x
    x = 216,897,613,975.08/511,272.90
  6. Step 6: Final answer
    x = 424,230.61

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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.