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Finding the Fourth Proportional to 226,784.40, 340,212.60 and 77,038.80

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Solution

The fourth proportional to 226,784.40, 340,212.60 and 77,038.80 is: 115,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,784.40 : 340,212.60 = 77,038.80 : x
  2. Step 2: Convert to fraction form
    226,784.40/340,212.60 = 77,038.80/x
  3. Step 3: Cross multiply
    226,784.40x = 340,212.60 × 77,038.80
  4. Step 4: Simplify right side
    226,784.40x = 26,209,570,448.88
  5. Step 5: Solve for x
    x = 26,209,570,448.88/226,784.40
  6. Step 6: Final answer
    x = 115,570.43

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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.