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Finding the Fourth Proportional to 709,645.95, 979,165.22 and 407,781.63

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Solution

The fourth proportional to 709,645.95, 979,165.22 and 407,781.63 is: 562,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,645.95 : 979,165.22 = 407,781.63 : x
  2. Step 2: Convert to fraction form
    709,645.95/979,165.22 = 407,781.63/x
  3. Step 3: Cross multiply
    709,645.95x = 979,165.22 × 407,781.63
  4. Step 4: Simplify right side
    709,645.95x = 399,285,589,450.91
  5. Step 5: Solve for x
    x = 399,285,589,450.91/709,645.95
  6. Step 6: Final answer
    x = 562,654.64

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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.