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Finding the Fourth Proportional to 493,257.65, 680,809.29 and 289,374.06

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Solution

The fourth proportional to 493,257.65, 680,809.29 and 289,374.06 is: 399,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,257.65 : 680,809.29 = 289,374.06 : x
  2. Step 2: Convert to fraction form
    493,257.65/680,809.29 = 289,374.06/x
  3. Step 3: Cross multiply
    493,257.65x = 680,809.29 × 289,374.06
  4. Step 4: Simplify right side
    493,257.65x = 197,008,548,333.02
  5. Step 5: Solve for x
    x = 197,008,548,333.02/493,257.65
  6. Step 6: Final answer
    x = 399,402.93

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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.