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Finding the Fourth Proportional to 852,309.84, 1,176,147.63 and 489,477.90

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Solution

The fourth proportional to 852,309.84, 1,176,147.63 and 489,477.90 is: 675,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,309.84 : 1,176,147.63 = 489,477.90 : x
  2. Step 2: Convert to fraction form
    852,309.84/1,176,147.63 = 489,477.90/x
  3. Step 3: Cross multiply
    852,309.84x = 1,176,147.63 × 489,477.90
  4. Step 4: Simplify right side
    852,309.84x = 575,698,272,022.38
  5. Step 5: Solve for x
    x = 575,698,272,022.38/852,309.84
  6. Step 6: Final answer
    x = 675,456.56

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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.