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Finding the Fourth Proportional to 468,351.74, 646,341.05 and 287,028.63

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Solution

The fourth proportional to 468,351.74, 646,341.05 and 287,028.63 is: 396,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,351.74 : 646,341.05 = 287,028.63 : x
  2. Step 2: Convert to fraction form
    468,351.74/646,341.05 = 287,028.63/x
  3. Step 3: Cross multiply
    468,351.74x = 646,341.05 × 287,028.63
  4. Step 4: Simplify right side
    468,351.74x = 185,518,384,659.12
  5. Step 5: Solve for x
    x = 185,518,384,659.12/468,351.74
  6. Step 6: Final answer
    x = 396,109.10

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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.