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Finding the Fourth Proportional to 482,900.64, 724,460.31 and 258,142.65

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Solution

The fourth proportional to 482,900.64, 724,460.31 and 258,142.65 is: 387,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,900.64 : 724,460.31 = 258,142.65 : x
  2. Step 2: Convert to fraction form
    482,900.64/724,460.31 = 258,142.65/x
  3. Step 3: Cross multiply
    482,900.64x = 724,460.31 × 258,142.65
  4. Step 4: Simplify right side
    482,900.64x = 187,014,104,243.22
  5. Step 5: Solve for x
    x = 187,014,104,243.22/482,900.64
  6. Step 6: Final answer
    x = 387,272.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.