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Finding the Fourth Proportional to 489,488.94, 675,484.11 and 282,757.50

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Solution

The fourth proportional to 489,488.94, 675,484.11 and 282,757.50 is: 390,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,488.94 : 675,484.11 = 282,757.50 : x
  2. Step 2: Convert to fraction form
    489,488.94/675,484.11 = 282,757.50/x
  3. Step 3: Cross multiply
    489,488.94x = 675,484.11 × 282,757.50
  4. Step 4: Simplify right side
    489,488.94x = 190,998,198,233.33
  5. Step 5: Solve for x
    x = 190,998,198,233.33/489,488.94
  6. Step 6: Final answer
    x = 390,199.21

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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.