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Finding the Fourth Proportional to 500,096.97, 689,962.46 and 285,081.66

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Solution

The fourth proportional to 500,096.97, 689,962.46 and 285,081.66 is: 393,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,096.97 : 689,962.46 = 285,081.66 : x
  2. Step 2: Convert to fraction form
    500,096.97/689,962.46 = 285,081.66/x
  3. Step 3: Cross multiply
    500,096.97x = 689,962.46 × 285,081.66
  4. Step 4: Simplify right side
    500,096.97x = 196,695,642,009.08
  5. Step 5: Solve for x
    x = 196,695,642,009.08/500,096.97
  6. Step 6: Final answer
    x = 393,315.00

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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.