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Finding the Fourth Proportional to 500,039.64, 690,276.33 and 318,988.98

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Solution

The fourth proportional to 500,039.64, 690,276.33 and 318,988.98 is: 440,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,039.64 : 690,276.33 = 318,988.98 : x
  2. Step 2: Convert to fraction form
    500,039.64/690,276.33 = 318,988.98/x
  3. Step 3: Cross multiply
    500,039.64x = 690,276.33 × 318,988.98
  4. Step 4: Simplify right side
    500,039.64x = 220,190,542,424.84
  5. Step 5: Solve for x
    x = 220,190,542,424.84/500,039.64
  6. Step 6: Final answer
    x = 440,346.17

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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.