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Finding the Fourth Proportional to 511,792.84, 706,275.06 and 285,452.92

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Solution

The fourth proportional to 511,792.84, 706,275.06 and 285,452.92 is: 393,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,792.84 : 706,275.06 = 285,452.92 : x
  2. Step 2: Convert to fraction form
    511,792.84/706,275.06 = 285,452.92/x
  3. Step 3: Cross multiply
    511,792.84x = 706,275.06 × 285,452.92
  4. Step 4: Simplify right side
    511,792.84x = 201,608,278,200.18
  5. Step 5: Solve for x
    x = 201,608,278,200.18/511,792.84
  6. Step 6: Final answer
    x = 393,925.55

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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.