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Finding the Fourth Proportional to 216,411.80, 298,646.58 and 120,917.48

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Solution

The fourth proportional to 216,411.80, 298,646.58 and 120,917.48 is: 166,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,411.80 : 298,646.58 = 120,917.48 : x
  2. Step 2: Convert to fraction form
    216,411.80/298,646.58 = 120,917.48/x
  3. Step 3: Cross multiply
    216,411.80x = 298,646.58 × 120,917.48
  4. Step 4: Simplify right side
    216,411.80x = 36,111,591,864.22
  5. Step 5: Solve for x
    x = 36,111,591,864.22/216,411.80
  6. Step 6: Final answer
    x = 166,865.17

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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.