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Finding the Fourth Proportional to 509,966.40, 703,754.34 and 283,611.90

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Solution

The fourth proportional to 509,966.40, 703,754.34 and 283,611.90 is: 391,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,966.40 : 703,754.34 = 283,611.90 : x
  2. Step 2: Convert to fraction form
    509,966.40/703,754.34 = 283,611.90/x
  3. Step 3: Cross multiply
    509,966.40x = 703,754.34 × 283,611.90
  4. Step 4: Simplify right side
    509,966.40x = 199,593,105,500.65
  5. Step 5: Solve for x
    x = 199,593,105,500.65/509,966.40
  6. Step 6: Final answer
    x = 391,384.82

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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.