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Finding the Fourth Proportional to 226,798.80, 340,214.76 and 76,978.32

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Solution

The fourth proportional to 226,798.80, 340,214.76 and 76,978.32 is: 115,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,798.80 : 340,214.76 = 76,978.32 : x
  2. Step 2: Convert to fraction form
    226,798.80/340,214.76 = 76,978.32/x
  3. Step 3: Cross multiply
    226,798.80x = 340,214.76 × 76,978.32
  4. Step 4: Simplify right side
    226,798.80x = 26,189,160,664.00
  5. Step 5: Solve for x
    x = 26,189,160,664.00/226,798.80
  6. Step 6: Final answer
    x = 115,473.10

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1.5x scale

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.