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Finding the Fourth Proportional to 489,076.16, 674,763.77 and 295,411.51

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Solution

The fourth proportional to 489,076.16, 674,763.77 and 295,411.51 is: 407,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,076.16 : 674,763.77 = 295,411.51 : x
  2. Step 2: Convert to fraction form
    489,076.16/674,763.77 = 295,411.51/x
  3. Step 3: Cross multiply
    489,076.16x = 674,763.77 × 295,411.51
  4. Step 4: Simplify right side
    489,076.16x = 199,332,979,338.12
  5. Step 5: Solve for x
    x = 199,332,979,338.12/489,076.16
  6. Step 6: Final answer
    x = 407,570.43

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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.