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Finding the Fourth Proportional to 509,743.88, 703,491.37 and 280,341.59

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Solution

The fourth proportional to 509,743.88, 703,491.37 and 280,341.59 is: 386,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,743.88 : 703,491.37 = 280,341.59 : x
  2. Step 2: Convert to fraction form
    509,743.88/703,491.37 = 280,341.59/x
  3. Step 3: Cross multiply
    509,743.88x = 703,491.37 × 280,341.59
  4. Step 4: Simplify right side
    509,743.88x = 197,217,885,699.62
  5. Step 5: Solve for x
    x = 197,217,885,699.62/509,743.88
  6. Step 6: Final answer
    x = 386,896.03

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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.