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Finding the Fourth Proportional to 262,308.16, 393,479.60 and 75,321.28

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Solution

The fourth proportional to 262,308.16, 393,479.60 and 75,321.28 is: 112,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,308.16 : 393,479.60 = 75,321.28 : x
  2. Step 2: Convert to fraction form
    262,308.16/393,479.60 = 75,321.28/x
  3. Step 3: Cross multiply
    262,308.16x = 393,479.60 × 75,321.28
  4. Step 4: Simplify right side
    262,308.16x = 29,637,387,125.89
  5. Step 5: Solve for x
    x = 29,637,387,125.89/262,308.16
  6. Step 6: Final answer
    x = 112,986.90

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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.