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Finding the Fourth Proportional to 509,558.04, 703,199.04 and 280,125

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Solution

The fourth proportional to 509,558.04, 703,199.04 and 280,125 is: 386,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,558.04 : 703,199.04 = 280,125 : x
  2. Step 2: Convert to fraction form
    509,558.04/703,199.04 = 280,125/x
  3. Step 3: Cross multiply
    509,558.04x = 703,199.04 × 280,125
  4. Step 4: Simplify right side
    509,558.04x = 196,983,631,080
  5. Step 5: Solve for x
    x = 196,983,631,080/509,558.04
  6. Step 6: Final answer
    x = 386,577.42

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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.