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Finding the Fourth Proportional to 296,259.84, 408,847.68 and 162,126.72

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Solution

The fourth proportional to 296,259.84, 408,847.68 and 162,126.72 is: 223,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,259.84 : 408,847.68 = 162,126.72 : x
  2. Step 2: Convert to fraction form
    296,259.84/408,847.68 = 162,126.72/x
  3. Step 3: Cross multiply
    296,259.84x = 408,847.68 × 162,126.72
  4. Step 4: Simplify right side
    296,259.84x = 66,285,133,338.01
  5. Step 5: Solve for x
    x = 66,285,133,338.01/296,259.84
  6. Step 6: Final answer
    x = 223,739.85

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1.5x scale

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.