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Finding the Fourth Proportional to 482,383.16, 724,008.42 and 257,935.44

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Solution

The fourth proportional to 482,383.16, 724,008.42 and 257,935.44 is: 387,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,383.16 : 724,008.42 = 257,935.44 : x
  2. Step 2: Convert to fraction form
    482,383.16/724,008.42 = 257,935.44/x
  3. Step 3: Cross multiply
    482,383.16x = 724,008.42 × 257,935.44
  4. Step 4: Simplify right side
    482,383.16x = 186,747,430,376.41
  5. Step 5: Solve for x
    x = 186,747,430,376.41/482,383.16
  6. Step 6: Final answer
    x = 387,135.05

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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.