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Finding the Fourth Proportional to 475,190.43, 714,808.38 and 430,747.73

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Solution

The fourth proportional to 475,190.43, 714,808.38 and 430,747.73 is: 647,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,190.43 : 714,808.38 = 430,747.73 : x
  2. Step 2: Convert to fraction form
    475,190.43/714,808.38 = 430,747.73/x
  3. Step 3: Cross multiply
    475,190.43x = 714,808.38 × 430,747.73
  4. Step 4: Simplify right side
    475,190.43x = 307,902,083,495.94
  5. Step 5: Solve for x
    x = 307,902,083,495.94/475,190.43
  6. Step 6: Final answer
    x = 647,955.14

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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.