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Finding the Fourth Proportional to 407,752.26, 611,644.59 and 127,269.51

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Solution

The fourth proportional to 407,752.26, 611,644.59 and 127,269.51 is: 190,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,752.26 : 611,644.59 = 127,269.51 : x
  2. Step 2: Convert to fraction form
    407,752.26/611,644.59 = 127,269.51/x
  3. Step 3: Cross multiply
    407,752.26x = 611,644.59 × 127,269.51
  4. Step 4: Simplify right side
    407,752.26x = 77,843,707,263.45
  5. Step 5: Solve for x
    x = 77,843,707,263.45/407,752.26
  6. Step 6: Final answer
    x = 190,909.32

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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.