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Finding the Fourth Proportional to 509,654.01, 703,323.96 and 280,234.77

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Solution

The fourth proportional to 509,654.01, 703,323.96 and 280,234.77 is: 386,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,654.01 : 703,323.96 = 280,234.77 : x
  2. Step 2: Convert to fraction form
    509,654.01/703,323.96 = 280,234.77/x
  3. Step 3: Cross multiply
    509,654.01x = 703,323.96 × 280,234.77
  4. Step 4: Simplify right side
    509,654.01x = 197,095,828,166.09
  5. Step 5: Solve for x
    x = 197,095,828,166.09/509,654.01
  6. Step 6: Final answer
    x = 386,724.77

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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.