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Finding the Fourth Proportional to 312,053.28, 430,633.14 and 168,813

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Solution

The fourth proportional to 312,053.28, 430,633.14 and 168,813 is: 232,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,053.28 : 430,633.14 = 168,813 : x
  2. Step 2: Convert to fraction form
    312,053.28/430,633.14 = 168,813/x
  3. Step 3: Cross multiply
    312,053.28x = 430,633.14 × 168,813
  4. Step 4: Simplify right side
    312,053.28x = 72,696,472,262.82
  5. Step 5: Solve for x
    x = 72,696,472,262.82/312,053.28
  6. Step 6: Final answer
    x = 232,961.73

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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.