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Finding the Fourth Proportional to 234,145.84, 322,901.92 and 155,424.54

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Solution

The fourth proportional to 234,145.84, 322,901.92 and 155,424.54 is: 214,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,145.84 : 322,901.92 = 155,424.54 : x
  2. Step 2: Convert to fraction form
    234,145.84/322,901.92 = 155,424.54/x
  3. Step 3: Cross multiply
    234,145.84x = 322,901.92 × 155,424.54
  4. Step 4: Simplify right side
    234,145.84x = 50,186,882,381.12
  5. Step 5: Solve for x
    x = 50,186,882,381.12/234,145.84
  6. Step 6: Final answer
    x = 214,340.27

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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.