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Finding the Fourth Proportional to 500,343, 690,473.64 and 270,902.28

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Solution

The fourth proportional to 500,343, 690,473.64 and 270,902.28 is: 373,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,343 : 690,473.64 = 270,902.28 : x
  2. Step 2: Convert to fraction form
    500,343/690,473.64 = 270,902.28/x
  3. Step 3: Cross multiply
    500,343x = 690,473.64 × 270,902.28
  4. Step 4: Simplify right side
    500,343x = 187,050,883,355.90
  5. Step 5: Solve for x
    x = 187,050,883,355.90/500,343
  6. Step 6: Final answer
    x = 373,845.31

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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.