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Finding the Fourth Proportional to 468,349.86, 646,338.45 and 287,026.75

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Solution

The fourth proportional to 468,349.86, 646,338.45 and 287,026.75 is: 396,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,349.86 : 646,338.45 = 287,026.75 : x
  2. Step 2: Convert to fraction form
    468,349.86/646,338.45 = 287,026.75/x
  3. Step 3: Cross multiply
    468,349.86x = 646,338.45 × 287,026.75
  4. Step 4: Simplify right side
    468,349.86x = 185,516,424,769.98
  5. Step 5: Solve for x
    x = 185,516,424,769.98/468,349.86
  6. Step 6: Final answer
    x = 396,106.51

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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.