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Finding the Fourth Proportional to 513,470.94, 708,535.36 and 283,991.78

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Solution

The fourth proportional to 513,470.94, 708,535.36 and 283,991.78 is: 391,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,470.94 : 708,535.36 = 283,991.78 : x
  2. Step 2: Convert to fraction form
    513,470.94/708,535.36 = 283,991.78/x
  3. Step 3: Cross multiply
    513,470.94x = 708,535.36 × 283,991.78
  4. Step 4: Simplify right side
    513,470.94x = 201,218,218,079.34
  5. Step 5: Solve for x
    x = 201,218,218,079.34/513,470.94
  6. Step 6: Final answer
    x = 391,878.49

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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.