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Finding the Fourth Proportional to 509,903.89, 703,668.77 and 280,484.68

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Solution

The fourth proportional to 509,903.89, 703,668.77 and 280,484.68 is: 387,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,903.89 : 703,668.77 = 280,484.68 : x
  2. Step 2: Convert to fraction form
    509,903.89/703,668.77 = 280,484.68/x
  3. Step 3: Cross multiply
    509,903.89x = 703,668.77 × 280,484.68
  4. Step 4: Simplify right side
    509,903.89x = 197,368,308,721.48
  5. Step 5: Solve for x
    x = 197,368,308,721.48/509,903.89
  6. Step 6: Final answer
    x = 387,069.63

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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.