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Finding the Fourth Proportional to 745,212, 1,028,392.56 and 405,660

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Solution

The fourth proportional to 745,212, 1,028,392.56 and 405,660 is: 559,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,212 : 1,028,392.56 = 405,660 : x
  2. Step 2: Convert to fraction form
    745,212/1,028,392.56 = 405,660/x
  3. Step 3: Cross multiply
    745,212x = 1,028,392.56 × 405,660
  4. Step 4: Simplify right side
    745,212x = 417,177,725,889.60
  5. Step 5: Solve for x
    x = 417,177,725,889.60/745,212
  6. Step 6: Final answer
    x = 559,810.80

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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.