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Finding the Fourth Proportional to 509,859.68, 703,187.72 and 452,540.80

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Solution

The fourth proportional to 509,859.68, 703,187.72 and 452,540.80 is: 624,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,859.68 : 703,187.72 = 452,540.80 : x
  2. Step 2: Convert to fraction form
    509,859.68/703,187.72 = 452,540.80/x
  3. Step 3: Cross multiply
    509,859.68x = 703,187.72 × 452,540.80
  4. Step 4: Simplify right side
    509,859.68x = 318,221,133,358.98
  5. Step 5: Solve for x
    x = 318,221,133,358.98/509,859.68
  6. Step 6: Final answer
    x = 624,134.73

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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.