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Finding the Fourth Proportional to 407,132.56, 610,740.80 and 140,892.68

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Solution

The fourth proportional to 407,132.56, 610,740.80 and 140,892.68 is: 211,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,132.56 : 610,740.80 = 140,892.68 : x
  2. Step 2: Convert to fraction form
    407,132.56/610,740.80 = 140,892.68/x
  3. Step 3: Cross multiply
    407,132.56x = 610,740.80 × 140,892.68
  4. Step 4: Simplify right side
    407,132.56x = 86,048,908,097.34
  5. Step 5: Solve for x
    x = 86,048,908,097.34/407,132.56
  6. Step 6: Final answer
    x = 211,353.54

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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.