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Finding the Fourth Proportional to 262,409.20, 393,905.40 and 144,311.20

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Solution

The fourth proportional to 262,409.20, 393,905.40 and 144,311.20 is: 216,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,409.20 : 393,905.40 = 144,311.20 : x
  2. Step 2: Convert to fraction form
    262,409.20/393,905.40 = 144,311.20/x
  3. Step 3: Cross multiply
    262,409.20x = 393,905.40 × 144,311.20
  4. Step 4: Simplify right side
    262,409.20x = 56,844,960,960.48
  5. Step 5: Solve for x
    x = 56,844,960,960.48/262,409.20
  6. Step 6: Final answer
    x = 216,627.16

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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.