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Finding the Fourth Proportional to 262,312.32, 361,978.20 and 149,132.64

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Solution

The fourth proportional to 262,312.32, 361,978.20 and 149,132.64 is: 205,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,312.32 : 361,978.20 = 149,132.64 : x
  2. Step 2: Convert to fraction form
    262,312.32/361,978.20 = 149,132.64/x
  3. Step 3: Cross multiply
    262,312.32x = 361,978.20 × 149,132.64
  4. Step 4: Simplify right side
    262,312.32x = 53,982,764,588.45
  5. Step 5: Solve for x
    x = 53,982,764,588.45/262,312.32
  6. Step 6: Final answer
    x = 205,795.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.