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Finding the Fourth Proportional to 509,809.66, 703,545.48 and 280,376.98

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Solution

The fourth proportional to 509,809.66, 703,545.48 and 280,376.98 is: 386,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,809.66 : 703,545.48 = 280,376.98 : x
  2. Step 2: Convert to fraction form
    509,809.66/703,545.48 = 280,376.98/x
  3. Step 3: Cross multiply
    509,809.66x = 703,545.48 × 280,376.98
  4. Step 4: Simplify right side
    509,809.66x = 197,257,956,975.05
  5. Step 5: Solve for x
    x = 197,257,956,975.05/509,809.66
  6. Step 6: Final answer
    x = 386,924.71

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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.