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Finding the Fourth Proportional to 362,089.79, 499,568.32 and 209,107.78

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Solution

The fourth proportional to 362,089.79, 499,568.32 and 209,107.78 is: 288,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,089.79 : 499,568.32 = 209,107.78 : x
  2. Step 2: Convert to fraction form
    362,089.79/499,568.32 = 209,107.78/x
  3. Step 3: Cross multiply
    362,089.79x = 499,568.32 × 209,107.78
  4. Step 4: Simplify right side
    362,089.79x = 104,463,618,810.15
  5. Step 5: Solve for x
    x = 104,463,618,810.15/362,089.79
  6. Step 6: Final answer
    x = 288,501.97

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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.