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Finding the Fourth Proportional to 402,376.60, 603,346.20 and 165,743.20

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Solution

The fourth proportional to 402,376.60, 603,346.20 and 165,743.20 is: 248,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,376.60 : 603,346.20 = 165,743.20 : x
  2. Step 2: Convert to fraction form
    402,376.60/603,346.20 = 165,743.20/x
  3. Step 3: Cross multiply
    402,376.60x = 603,346.20 × 165,743.20
  4. Step 4: Simplify right side
    402,376.60x = 100,000,529,895.84
  5. Step 5: Solve for x
    x = 100,000,529,895.84/402,376.60
  6. Step 6: Final answer
    x = 248,524.72

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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.