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Finding the Fourth Proportional to 418,682.96, 577,719.24 and 257,564.24

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Solution

The fourth proportional to 418,682.96, 577,719.24 and 257,564.24 is: 355,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,682.96 : 577,719.24 = 257,564.24 : x
  2. Step 2: Convert to fraction form
    418,682.96/577,719.24 = 257,564.24/x
  3. Step 3: Cross multiply
    418,682.96x = 577,719.24 × 257,564.24
  4. Step 4: Simplify right side
    418,682.96x = 148,799,816,983.98
  5. Step 5: Solve for x
    x = 148,799,816,983.98/418,682.96
  6. Step 6: Final answer
    x = 355,399.74

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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.