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Finding the Fourth Proportional to 468,346.72, 646,334.12 and 287,023.61

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Solution

The fourth proportional to 468,346.72, 646,334.12 and 287,023.61 is: 396,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,346.72 : 646,334.12 = 287,023.61 : x
  2. Step 2: Convert to fraction form
    468,346.72/646,334.12 = 287,023.61/x
  3. Step 3: Cross multiply
    468,346.72x = 646,334.12 × 287,023.61
  4. Step 4: Simplify right side
    468,346.72x = 185,513,150,953.46
  5. Step 5: Solve for x
    x = 185,513,150,953.46/468,346.72
  6. Step 6: Final answer
    x = 396,102.17

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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.