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Finding the Fourth Proportional to 362,490.12, 500,301.90 and 209,507.22

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Solution

The fourth proportional to 362,490.12, 500,301.90 and 209,507.22 is: 289,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,490.12 : 500,301.90 = 209,507.22 : x
  2. Step 2: Convert to fraction form
    362,490.12/500,301.90 = 209,507.22/x
  3. Step 3: Cross multiply
    362,490.12x = 500,301.90 × 209,507.22
  4. Step 4: Simplify right side
    362,490.12x = 104,816,860,229.72
  5. Step 5: Solve for x
    x = 104,816,860,229.72/362,490.12
  6. Step 6: Final answer
    x = 289,157.84

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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.