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Finding the Fourth Proportional to 509,840.62, 703,565.19 and 280,397.69

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Solution

The fourth proportional to 509,840.62, 703,565.19 and 280,397.69 is: 386,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,840.62 : 703,565.19 = 280,397.69 : x
  2. Step 2: Convert to fraction form
    509,840.62/703,565.19 = 280,397.69/x
  3. Step 3: Cross multiply
    509,840.62x = 703,565.19 × 280,397.69
  4. Step 4: Simplify right side
    509,840.62x = 197,278,054,040.41
  5. Step 5: Solve for x
    x = 197,278,054,040.41/509,840.62
  6. Step 6: Final answer
    x = 386,940.64

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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.