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Finding the Fourth Proportional to 312,133.48, 430,742.82 and 168,896.06

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Solution

The fourth proportional to 312,133.48, 430,742.82 and 168,896.06 is: 233,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,133.48 : 430,742.82 = 168,896.06 : x
  2. Step 2: Convert to fraction form
    312,133.48/430,742.82 = 168,896.06/x
  3. Step 3: Cross multiply
    312,133.48x = 430,742.82 × 168,896.06
  4. Step 4: Simplify right side
    312,133.48x = 72,750,765,171.29
  5. Step 5: Solve for x
    x = 72,750,765,171.29/312,133.48
  6. Step 6: Final answer
    x = 233,075.81

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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.