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Finding the Fourth Proportional to 418,398, 577,384.83 and 227,409.99

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Solution

The fourth proportional to 418,398, 577,384.83 and 227,409.99 is: 313,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,398 : 577,384.83 = 227,409.99 : x
  2. Step 2: Convert to fraction form
    418,398/577,384.83 = 227,409.99/x
  3. Step 3: Cross multiply
    418,398x = 577,384.83 × 227,409.99
  4. Step 4: Simplify right side
    418,398x = 131,303,078,416.45
  5. Step 5: Solve for x
    x = 131,303,078,416.45/418,398
  6. Step 6: Final answer
    x = 313,823.39

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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.