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Finding the Fourth Proportional to 647,295.96, 893,249.83 and 360,809.90

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Solution

The fourth proportional to 647,295.96, 893,249.83 and 360,809.90 is: 497,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,295.96 : 893,249.83 = 360,809.90 : x
  2. Step 2: Convert to fraction form
    647,295.96/893,249.83 = 360,809.90/x
  3. Step 3: Cross multiply
    647,295.96x = 893,249.83 × 360,809.90
  4. Step 4: Simplify right side
    647,295.96x = 322,293,381,837.32
  5. Step 5: Solve for x
    x = 322,293,381,837.32/647,295.96
  6. Step 6: Final answer
    x = 497,907.30

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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.