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Finding the Fourth Proportional to 509,628.61, 703,287.93 and 280,189.80

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Solution

The fourth proportional to 509,628.61, 703,287.93 and 280,189.80 is: 386,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,628.61 : 703,287.93 = 280,189.80 : x
  2. Step 2: Convert to fraction form
    509,628.61/703,287.93 = 280,189.80/x
  3. Step 3: Cross multiply
    509,628.61x = 703,287.93 × 280,189.80
  4. Step 4: Simplify right side
    509,628.61x = 197,054,105,499.83
  5. Step 5: Solve for x
    x = 197,054,105,499.83/509,628.61
  6. Step 6: Final answer
    x = 386,662.17

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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.