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Finding the Fourth Proportional to 457,179.68, 685,437.27 and 191,016.32

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Solution

The fourth proportional to 457,179.68, 685,437.27 and 191,016.32 is: 286,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,179.68 : 685,437.27 = 191,016.32 : x
  2. Step 2: Convert to fraction form
    457,179.68/685,437.27 = 191,016.32/x
  3. Step 3: Cross multiply
    457,179.68x = 685,437.27 × 191,016.32
  4. Step 4: Simplify right side
    457,179.68x = 130,929,701,479.06
  5. Step 5: Solve for x
    x = 130,929,701,479.06/457,179.68
  6. Step 6: Final answer
    x = 286,385.66

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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.