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Finding the Fourth Proportional to 229,478.40, 344,003.60 and 77,569.79

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Solution

The fourth proportional to 229,478.40, 344,003.60 and 77,569.79 is: 116,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,478.40 : 344,003.60 = 77,569.79 : x
  2. Step 2: Convert to fraction form
    229,478.40/344,003.60 = 77,569.79/x
  3. Step 3: Cross multiply
    229,478.40x = 344,003.60 × 77,569.79
  4. Step 4: Simplify right side
    229,478.40x = 26,684,285,763.39
  5. Step 5: Solve for x
    x = 26,684,285,763.39/229,478.40
  6. Step 6: Final answer
    x = 116,282.34

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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.