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Finding the Fourth Proportional to 509,671.77, 703,332.17 and 280,228.82

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Solution

The fourth proportional to 509,671.77, 703,332.17 and 280,228.82 is: 386,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,671.77 : 703,332.17 = 280,228.82 : x
  2. Step 2: Convert to fraction form
    509,671.77/703,332.17 = 280,228.82/x
  3. Step 3: Cross multiply
    509,671.77x = 703,332.17 × 280,228.82
  4. Step 4: Simplify right side
    509,671.77x = 197,093,939,149.33
  5. Step 5: Solve for x
    x = 197,093,939,149.33/509,671.77
  6. Step 6: Final answer
    x = 386,707.58

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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.