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Finding the Fourth Proportional to 468,345.21, 646,332.05 and 287,022.11

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Solution

The fourth proportional to 468,345.21, 646,332.05 and 287,022.11 is: 396,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,345.21 : 646,332.05 = 287,022.11 : x
  2. Step 2: Convert to fraction form
    468,345.21/646,332.05 = 287,022.11/x
  3. Step 3: Cross multiply
    468,345.21x = 646,332.05 × 287,022.11
  4. Step 4: Simplify right side
    468,345.21x = 185,511,586,037.21
  5. Step 5: Solve for x
    x = 185,511,586,037.21/468,345.21
  6. Step 6: Final answer
    x = 396,100.10

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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.