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Finding the Fourth Proportional to 264,455.40, 396,642.60 and 86,962.80

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Solution

The fourth proportional to 264,455.40, 396,642.60 and 86,962.80 is: 130,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,455.40 : 396,642.60 = 86,962.80 : x
  2. Step 2: Convert to fraction form
    264,455.40/396,642.60 = 86,962.80/x
  3. Step 3: Cross multiply
    264,455.40x = 396,642.60 × 86,962.80
  4. Step 4: Simplify right side
    264,455.40x = 34,493,151,095.28
  5. Step 5: Solve for x
    x = 34,493,151,095.28/264,455.40
  6. Step 6: Final answer
    x = 130,430.88

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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.