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Finding the Fourth Proportional to 208,422.81, 287,628.83 and 127,894.83

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Solution

The fourth proportional to 208,422.81, 287,628.83 and 127,894.83 is: 176,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,422.81 : 287,628.83 = 127,894.83 : x
  2. Step 2: Convert to fraction form
    208,422.81/287,628.83 = 127,894.83/x
  3. Step 3: Cross multiply
    208,422.81x = 287,628.83 × 127,894.83
  4. Step 4: Simplify right side
    208,422.81x = 36,786,239,676.47
  5. Step 5: Solve for x
    x = 36,786,239,676.47/208,422.81
  6. Step 6: Final answer
    x = 176,498.15

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1.5x scale

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.