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Finding the Fourth Proportional to 407,334.26, 611,031.36 and 107,812.82

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Solution

The fourth proportional to 407,334.26, 611,031.36 and 107,812.82 is: 161,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,334.26 : 611,031.36 = 107,812.82 : x
  2. Step 2: Convert to fraction form
    407,334.26/611,031.36 = 107,812.82/x
  3. Step 3: Cross multiply
    407,334.26x = 611,031.36 × 107,812.82
  4. Step 4: Simplify right side
    407,334.26x = 65,877,014,030.04
  5. Step 5: Solve for x
    x = 65,877,014,030.04/407,334.26
  6. Step 6: Final answer
    x = 161,727.16

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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.