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Finding the Fourth Proportional to 922,913, 1,273,619.94 and 498,977

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Solution

The fourth proportional to 922,913, 1,273,619.94 and 498,977 is: 688,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,913 : 1,273,619.94 = 498,977 : x
  2. Step 2: Convert to fraction form
    922,913/1,273,619.94 = 498,977/x
  3. Step 3: Cross multiply
    922,913x = 1,273,619.94 × 498,977
  4. Step 4: Simplify right side
    922,913x = 635,507,056,801.38
  5. Step 5: Solve for x
    x = 635,507,056,801.38/922,913
  6. Step 6: Final answer
    x = 688,588.26

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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.