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Finding the Fourth Proportional to 468,690.10, 646,308.62 and 400,931.37

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Solution

The fourth proportional to 468,690.10, 646,308.62 and 400,931.37 is: 552,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,690.10 : 646,308.62 = 400,931.37 : x
  2. Step 2: Convert to fraction form
    468,690.10/646,308.62 = 400,931.37/x
  3. Step 3: Cross multiply
    468,690.10x = 646,308.62 × 400,931.37
  4. Step 4: Simplify right side
    468,690.10x = 259,125,399,958.25
  5. Step 5: Solve for x
    x = 259,125,399,958.25/468,690.10
  6. Step 6: Final answer
    x = 552,871.51

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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.