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Finding the Fourth Proportional to 407,090.81, 610,637.78 and 170,267.36

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Solution

The fourth proportional to 407,090.81, 610,637.78 and 170,267.36 is: 255,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,090.81 : 610,637.78 = 170,267.36 : x
  2. Step 2: Convert to fraction form
    407,090.81/610,637.78 = 170,267.36/x
  3. Step 3: Cross multiply
    407,090.81x = 610,637.78 × 170,267.36
  4. Step 4: Simplify right side
    407,090.81x = 103,971,682,716.86
  5. Step 5: Solve for x
    x = 103,971,682,716.86/407,090.81
  6. Step 6: Final answer
    x = 255,401.70

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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.