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Finding the Fourth Proportional to 407,133.71, 610,742.48 and 140,893.80

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Solution

The fourth proportional to 407,133.71, 610,742.48 and 140,893.80 is: 211,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,133.71 : 610,742.48 = 140,893.80 : x
  2. Step 2: Convert to fraction form
    407,133.71/610,742.48 = 140,893.80/x
  3. Step 3: Cross multiply
    407,133.71x = 610,742.48 × 140,893.80
  4. Step 4: Simplify right side
    407,133.71x = 86,049,828,828.62
  5. Step 5: Solve for x
    x = 86,049,828,828.62/407,133.71
  6. Step 6: Final answer
    x = 211,355.21

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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.