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Finding the Fourth Proportional to 509,740.93, 703,487.27 and 280,338.61

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Solution

The fourth proportional to 509,740.93, 703,487.27 and 280,338.61 is: 386,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,740.93 : 703,487.27 = 280,338.61 : x
  2. Step 2: Convert to fraction form
    509,740.93/703,487.27 = 280,338.61/x
  3. Step 3: Cross multiply
    509,740.93x = 703,487.27 × 280,338.61
  4. Step 4: Simplify right side
    509,740.93x = 197,214,643,424.50
  5. Step 5: Solve for x
    x = 197,214,643,424.50/509,740.93
  6. Step 6: Final answer
    x = 386,891.91

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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.