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Finding the Fourth Proportional to 468,355.77, 646,346.61 and 287,032.67

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Solution

The fourth proportional to 468,355.77, 646,346.61 and 287,032.67 is: 396,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,355.77 : 646,346.61 = 287,032.67 : x
  2. Step 2: Convert to fraction form
    468,355.77/646,346.61 = 287,032.67/x
  3. Step 3: Cross multiply
    468,355.77x = 646,346.61 × 287,032.67
  4. Step 4: Simplify right side
    468,355.77x = 185,522,589,982.02
  5. Step 5: Solve for x
    x = 185,522,589,982.02/468,355.77
  6. Step 6: Final answer
    x = 396,114.67

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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.