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Finding the Fourth Proportional to 520,827.81, 780,348.83 and 349,728.81

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Solution

The fourth proportional to 520,827.81, 780,348.83 and 349,728.81 is: 523,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,827.81 : 780,348.83 = 349,728.81 : x
  2. Step 2: Convert to fraction form
    520,827.81/780,348.83 = 349,728.81/x
  3. Step 3: Cross multiply
    520,827.81x = 780,348.83 × 349,728.81
  4. Step 4: Simplify right side
    520,827.81x = 272,910,470,845.68
  5. Step 5: Solve for x
    x = 272,910,470,845.68/520,827.81
  6. Step 6: Final answer
    x = 523,993.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.