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Finding the Fourth Proportional to 418,574.48, 577,629.76 and 227,588

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Solution

The fourth proportional to 418,574.48, 577,629.76 and 227,588 is: 314,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,574.48 : 577,629.76 = 227,588 : x
  2. Step 2: Convert to fraction form
    418,574.48/577,629.76 = 227,588/x
  3. Step 3: Cross multiply
    418,574.48x = 577,629.76 × 227,588
  4. Step 4: Simplify right side
    418,574.48x = 131,461,601,818.88
  5. Step 5: Solve for x
    x = 131,461,601,818.88/418,574.48
  6. Step 6: Final answer
    x = 314,069.80

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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.