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Finding the Fourth Proportional to 427,428.78, 640,929.33 and 143,021.58

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Solution

The fourth proportional to 427,428.78, 640,929.33 and 143,021.58 is: 214,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,428.78 : 640,929.33 = 143,021.58 : x
  2. Step 2: Convert to fraction form
    427,428.78/640,929.33 = 143,021.58/x
  3. Step 3: Cross multiply
    427,428.78x = 640,929.33 × 143,021.58
  4. Step 4: Simplify right side
    427,428.78x = 91,666,725,444.94
  5. Step 5: Solve for x
    x = 91,666,725,444.94/427,428.78
  6. Step 6: Final answer
    x = 214,460.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.