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Finding the Fourth Proportional to 506,438.06, 758,371.53 and 303,906.83

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Solution

The fourth proportional to 506,438.06, 758,371.53 and 303,906.83 is: 455,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,438.06 : 758,371.53 = 303,906.83 : x
  2. Step 2: Convert to fraction form
    506,438.06/758,371.53 = 303,906.83/x
  3. Step 3: Cross multiply
    506,438.06x = 758,371.53 × 303,906.83
  4. Step 4: Simplify right side
    506,438.06x = 230,474,287,644.55
  5. Step 5: Solve for x
    x = 230,474,287,644.55/506,438.06
  6. Step 6: Final answer
    x = 455,088.80

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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.