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Finding the Fourth Proportional to 500,597.64, 690,721.20 and 285,807.60

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Solution

The fourth proportional to 500,597.64, 690,721.20 and 285,807.60 is: 394,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,597.64 : 690,721.20 = 285,807.60 : x
  2. Step 2: Convert to fraction form
    500,597.64/690,721.20 = 285,807.60/x
  3. Step 3: Cross multiply
    500,597.64x = 690,721.20 × 285,807.60
  4. Step 4: Simplify right side
    500,597.64x = 197,413,368,441.12
  5. Step 5: Solve for x
    x = 197,413,368,441.12/500,597.64
  6. Step 6: Final answer
    x = 394,355.37

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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.