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Finding the Fourth Proportional to 500,602.64, 690,728.10 and 285,812.60

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Solution

The fourth proportional to 500,602.64, 690,728.10 and 285,812.60 is: 394,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,602.64 : 690,728.10 = 285,812.60 : x
  2. Step 2: Convert to fraction form
    500,602.64/690,728.10 = 285,812.60/x
  3. Step 3: Cross multiply
    500,602.64x = 690,728.10 × 285,812.60
  4. Step 4: Simplify right side
    500,602.64x = 197,418,794,154.06
  5. Step 5: Solve for x
    x = 197,418,794,154.06/500,602.64
  6. Step 6: Final answer
    x = 394,362.27

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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.