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Finding the Fourth Proportional to 304,761.94, 457,215.90 and 127,170.16

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Solution

The fourth proportional to 304,761.94, 457,215.90 and 127,170.16 is: 190,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,761.94 : 457,215.90 = 127,170.16 : x
  2. Step 2: Convert to fraction form
    304,761.94/457,215.90 = 127,170.16/x
  3. Step 3: Cross multiply
    304,761.94x = 457,215.90 × 127,170.16
  4. Step 4: Simplify right side
    304,761.94x = 58,144,219,157.54
  5. Step 5: Solve for x
    x = 58,144,219,157.54/304,761.94
  6. Step 6: Final answer
    x = 190,785.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.