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Finding the Fourth Proportional to 413,813.88, 620,722.80 and 125,628

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Solution

The fourth proportional to 413,813.88, 620,722.80 and 125,628 is: 188,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,813.88 : 620,722.80 = 125,628 : x
  2. Step 2: Convert to fraction form
    413,813.88/620,722.80 = 125,628/x
  3. Step 3: Cross multiply
    413,813.88x = 620,722.80 × 125,628
  4. Step 4: Simplify right side
    413,813.88x = 77,980,163,918.40
  5. Step 5: Solve for x
    x = 77,980,163,918.40/413,813.88
  6. Step 6: Final answer
    x = 188,442.60

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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.