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Finding the Fourth Proportional to 407,139.22, 610,750.72 and 140,899.33

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Solution

The fourth proportional to 407,139.22, 610,750.72 and 140,899.33 is: 211,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,139.22 : 610,750.72 = 140,899.33 : x
  2. Step 2: Convert to fraction form
    407,139.22/610,750.72 = 140,899.33/x
  3. Step 3: Cross multiply
    407,139.22x = 610,750.72 × 140,899.33
  4. Step 4: Simplify right side
    407,139.22x = 86,054,364,191.26
  5. Step 5: Solve for x
    x = 86,054,364,191.26/407,139.22
  6. Step 6: Final answer
    x = 211,363.49

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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.