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Finding the Fourth Proportional to 431,409.42, 595,169.64 and 286,283.61

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Solution

The fourth proportional to 431,409.42, 595,169.64 and 286,283.61 is: 394,955.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,409.42 : 595,169.64 = 286,283.61 : x
  2. Step 2: Convert to fraction form
    431,409.42/595,169.64 = 286,283.61/x
  3. Step 3: Cross multiply
    431,409.42x = 595,169.64 × 286,283.61
  4. Step 4: Simplify right side
    431,409.42x = 170,387,313,101.60
  5. Step 5: Solve for x
    x = 170,387,313,101.60/431,409.42
  6. Step 6: Final answer
    x = 394,955.01

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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.