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Finding the Fourth Proportional to 418,528.62, 577,661.22 and 275,302.80

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Solution

The fourth proportional to 418,528.62, 577,661.22 and 275,302.80 is: 379,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,528.62 : 577,661.22 = 275,302.80 : x
  2. Step 2: Convert to fraction form
    418,528.62/577,661.22 = 275,302.80/x
  3. Step 3: Cross multiply
    418,528.62x = 577,661.22 × 275,302.80
  4. Step 4: Simplify right side
    418,528.62x = 159,031,751,317.42
  5. Step 5: Solve for x
    x = 159,031,751,317.42/418,528.62
  6. Step 6: Final answer
    x = 379,978.20

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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.