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Finding the Fourth Proportional to 234,143.84, 322,899.17 and 155,422.54

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Solution

The fourth proportional to 234,143.84, 322,899.17 and 155,422.54 is: 214,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,143.84 : 322,899.17 = 155,422.54 : x
  2. Step 2: Convert to fraction form
    234,143.84/322,899.17 = 155,422.54/x
  3. Step 3: Cross multiply
    234,143.84x = 322,899.17 × 155,422.54
  4. Step 4: Simplify right side
    234,143.84x = 50,185,808,388.18
  5. Step 5: Solve for x
    x = 50,185,808,388.18/234,143.84
  6. Step 6: Final answer
    x = 214,337.52

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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.