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Finding the Fourth Proportional to 418,411.08, 577,405.13 and 227,425.50

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Solution

The fourth proportional to 418,411.08, 577,405.13 and 227,425.50 is: 313,846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,411.08 : 577,405.13 = 227,425.50 : x
  2. Step 2: Convert to fraction form
    418,411.08/577,405.13 = 227,425.50/x
  3. Step 3: Cross multiply
    418,411.08x = 577,405.13 × 227,425.50
  4. Step 4: Simplify right side
    418,411.08x = 131,316,649,255.69
  5. Step 5: Solve for x
    x = 131,316,649,255.69/418,411.08
  6. Step 6: Final answer
    x = 313,846.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.