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Finding the Fourth Proportional to 812,813.04, 1,219,968 and 413,739

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Solution

The fourth proportional to 812,813.04, 1,219,968 and 413,739 is: 620,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,813.04 : 1,219,968 = 413,739 : x
  2. Step 2: Convert to fraction form
    812,813.04/1,219,968 = 413,739/x
  3. Step 3: Cross multiply
    812,813.04x = 1,219,968 × 413,739
  4. Step 4: Simplify right side
    812,813.04x = 504,748,340,352
  5. Step 5: Solve for x
    x = 504,748,340,352/812,813.04
  6. Step 6: Final answer
    x = 620,989.47

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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.