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Finding the Fourth Proportional to 498,729.97, 688,264.34 and 294,955.57

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Solution

The fourth proportional to 498,729.97, 688,264.34 and 294,955.57 is: 407,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,729.97 : 688,264.34 = 294,955.57 : x
  2. Step 2: Convert to fraction form
    498,729.97/688,264.34 = 294,955.57/x
  3. Step 3: Cross multiply
    498,729.97x = 688,264.34 × 294,955.57
  4. Step 4: Simplify right side
    498,729.97x = 203,007,400,715.37
  5. Step 5: Solve for x
    x = 203,007,400,715.37/498,729.97
  6. Step 6: Final answer
    x = 407,048.73

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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.