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Finding the Fourth Proportional to 362,142.45, 499,818.45 and 209,153.16

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Solution

The fourth proportional to 362,142.45, 499,818.45 and 209,153.16 is: 288,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,142.45 : 499,818.45 = 209,153.16 : x
  2. Step 2: Convert to fraction form
    362,142.45/499,818.45 = 209,153.16/x
  3. Step 3: Cross multiply
    362,142.45x = 499,818.45 × 209,153.16
  4. Step 4: Simplify right side
    362,142.45x = 104,538,608,243.80
  5. Step 5: Solve for x
    x = 104,538,608,243.80/362,142.45
  6. Step 6: Final answer
    x = 288,667.09

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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.