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Finding the Fourth Proportional to 647,415, 893,422.44 and 360,952.56

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Solution

The fourth proportional to 647,415, 893,422.44 and 360,952.56 is: 498,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,415 : 893,422.44 = 360,952.56 : x
  2. Step 2: Convert to fraction form
    647,415/893,422.44 = 360,952.56/x
  3. Step 3: Cross multiply
    647,415x = 893,422.44 × 360,952.56
  4. Step 4: Simplify right side
    647,415x = 322,483,116,879.45
  5. Step 5: Solve for x
    x = 322,483,116,879.45/647,415
  6. Step 6: Final answer
    x = 498,108.81

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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.