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Finding the Fourth Proportional to 362,713.87, 500,505.40 and 209,728.91

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Solution

The fourth proportional to 362,713.87, 500,505.40 and 209,728.91 is: 289,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,713.87 : 500,505.40 = 209,728.91 : x
  2. Step 2: Convert to fraction form
    362,713.87/500,505.40 = 209,728.91/x
  3. Step 3: Cross multiply
    362,713.87x = 500,505.40 × 209,728.91
  4. Step 4: Simplify right side
    362,713.87x = 104,970,455,150.16
  5. Step 5: Solve for x
    x = 104,970,455,150.16/362,713.87
  6. Step 6: Final answer
    x = 289,402.92

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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.