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Finding the Fourth Proportional to 361,955.79, 499,507.16 and 200,804.87

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Solution

The fourth proportional to 361,955.79, 499,507.16 and 200,804.87 is: 277,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,955.79 : 499,507.16 = 200,804.87 : x
  2. Step 2: Convert to fraction form
    361,955.79/499,507.16 = 200,804.87/x
  3. Step 3: Cross multiply
    361,955.79x = 499,507.16 × 200,804.87
  4. Step 4: Simplify right side
    361,955.79x = 100,303,470,572.61
  5. Step 5: Solve for x
    x = 100,303,470,572.61/361,955.79
  6. Step 6: Final answer
    x = 277,115.25

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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.