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Finding the Fourth Proportional to 413,571.69, 620,018.51 and 147,180.51

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Solution

The fourth proportional to 413,571.69, 620,018.51 and 147,180.51 is: 220,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,571.69 : 620,018.51 = 147,180.51 : x
  2. Step 2: Convert to fraction form
    413,571.69/620,018.51 = 147,180.51/x
  3. Step 3: Cross multiply
    413,571.69x = 620,018.51 × 147,180.51
  4. Step 4: Simplify right side
    413,571.69x = 91,254,639,775.34
  5. Step 5: Solve for x
    x = 91,254,639,775.34/413,571.69
  6. Step 6: Final answer
    x = 220,650.11

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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.