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Finding the Fourth Proportional to 509,715.89, 703,425.97 and 280,290.58

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Solution

The fourth proportional to 509,715.89, 703,425.97 and 280,290.58 is: 386,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,715.89 : 703,425.97 = 280,290.58 : x
  2. Step 2: Convert to fraction form
    509,715.89/703,425.97 = 280,290.58/x
  3. Step 3: Cross multiply
    509,715.89x = 703,425.97 × 280,290.58
  4. Step 4: Simplify right side
    509,715.89x = 197,163,671,710.16
  5. Step 5: Solve for x
    x = 197,163,671,710.16/509,715.89
  6. Step 6: Final answer
    x = 386,810.92

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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.