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Finding the Fourth Proportional to 402,382.60, 603,355.20 and 165,749.20

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Solution

The fourth proportional to 402,382.60, 603,355.20 and 165,749.20 is: 248,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,382.60 : 603,355.20 = 165,749.20 : x
  2. Step 2: Convert to fraction form
    402,382.60/603,355.20 = 165,749.20/x
  3. Step 3: Cross multiply
    402,382.60x = 603,355.20 × 165,749.20
  4. Step 4: Simplify right side
    402,382.60x = 100,005,641,715.84
  5. Step 5: Solve for x
    x = 100,005,641,715.84/402,382.60
  6. Step 6: Final answer
    x = 248,533.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.