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Finding the Fourth Proportional to 658,890, 909,365.76 and 417,195

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Solution

The fourth proportional to 658,890, 909,365.76 and 417,195 is: 575,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,890 : 909,365.76 = 417,195 : x
  2. Step 2: Convert to fraction form
    658,890/909,365.76 = 417,195/x
  3. Step 3: Cross multiply
    658,890x = 909,365.76 × 417,195
  4. Step 4: Simplify right side
    658,890x = 379,382,848,243.20
  5. Step 5: Solve for x
    x = 379,382,848,243.20/658,890
  6. Step 6: Final answer
    x = 575,790.87

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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.