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Finding the Fourth Proportional to 239,678.28, 359,237.52 and 180,323.28

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Solution

The fourth proportional to 239,678.28, 359,237.52 and 180,323.28 is: 270,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,678.28 : 359,237.52 = 180,323.28 : x
  2. Step 2: Convert to fraction form
    239,678.28/359,237.52 = 180,323.28/x
  3. Step 3: Cross multiply
    239,678.28x = 359,237.52 × 180,323.28
  4. Step 4: Simplify right side
    239,678.28x = 64,778,887,905.47
  5. Step 5: Solve for x
    x = 64,778,887,905.47/239,678.28
  6. Step 6: Final answer
    x = 270,274.34

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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.