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Finding the Fourth Proportional to 509,649.87, 703,274.97 and 300,064.45

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Solution

The fourth proportional to 509,649.87, 703,274.97 and 300,064.45 is: 414,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,649.87 : 703,274.97 = 300,064.45 : x
  2. Step 2: Convert to fraction form
    509,649.87/703,274.97 = 300,064.45/x
  3. Step 3: Cross multiply
    509,649.87x = 703,274.97 × 300,064.45
  4. Step 4: Simplify right side
    509,649.87x = 211,027,817,567.14
  5. Step 5: Solve for x
    x = 211,027,817,567.14/509,649.87
  6. Step 6: Final answer
    x = 414,064.30

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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.