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Finding the Fourth Proportional to 509,837.40, 703,533.60 and 300,251.88

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Solution

The fourth proportional to 509,837.40, 703,533.60 and 300,251.88 is: 414,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,837.40 : 703,533.60 = 300,251.88 : x
  2. Step 2: Convert to fraction form
    509,837.40/703,533.60 = 300,251.88/x
  3. Step 3: Cross multiply
    509,837.40x = 703,533.60 × 300,251.88
  4. Step 4: Simplify right side
    509,837.40x = 211,237,286,043.17
  5. Step 5: Solve for x
    x = 211,237,286,043.17/509,837.40
  6. Step 6: Final answer
    x = 414,322.85

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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.