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Finding the Fourth Proportional to 390,052.80, 584,906.40 and 179,755.20

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Solution

The fourth proportional to 390,052.80, 584,906.40 and 179,755.20 is: 269,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,052.80 : 584,906.40 = 179,755.20 : x
  2. Step 2: Convert to fraction form
    390,052.80/584,906.40 = 179,755.20/x
  3. Step 3: Cross multiply
    390,052.80x = 584,906.40 × 179,755.20
  4. Step 4: Simplify right side
    390,052.80x = 105,139,966,913.28
  5. Step 5: Solve for x
    x = 105,139,966,913.28/390,052.80
  6. Step 6: Final answer
    x = 269,553.17

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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.