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Finding the Fourth Proportional to 312,300.70, 430,972.02 and 169,057.06

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Solution

The fourth proportional to 312,300.70, 430,972.02 and 169,057.06 is: 233,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,300.70 : 430,972.02 = 169,057.06 : x
  2. Step 2: Convert to fraction form
    312,300.70/430,972.02 = 169,057.06/x
  3. Step 3: Cross multiply
    312,300.70x = 430,972.02 × 169,057.06
  4. Step 4: Simplify right side
    312,300.70x = 72,858,862,643.46
  5. Step 5: Solve for x
    x = 72,858,862,643.46/312,300.70
  6. Step 6: Final answer
    x = 233,297.15

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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.