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Finding the Fourth Proportional to 509,989.36, 703,810.26 and 283,630

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Solution

The fourth proportional to 509,989.36, 703,810.26 and 283,630 is: 391,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,989.36 : 703,810.26 = 283,630 : x
  2. Step 2: Convert to fraction form
    509,989.36/703,810.26 = 283,630/x
  3. Step 3: Cross multiply
    509,989.36x = 703,810.26 × 283,630
  4. Step 4: Simplify right side
    509,989.36x = 199,621,704,043.80
  5. Step 5: Solve for x
    x = 199,621,704,043.80/509,989.36
  6. Step 6: Final answer
    x = 391,423.27

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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.