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Finding the Fourth Proportional to 538,362.66, 742,934.53 and 305,788.02

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Solution

The fourth proportional to 538,362.66, 742,934.53 and 305,788.02 is: 421,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,362.66 : 742,934.53 = 305,788.02 : x
  2. Step 2: Convert to fraction form
    538,362.66/742,934.53 = 305,788.02/x
  3. Step 3: Cross multiply
    538,362.66x = 742,934.53 × 305,788.02
  4. Step 4: Simplify right side
    538,362.66x = 227,180,478,918.33
  5. Step 5: Solve for x
    x = 227,180,478,918.33/538,362.66
  6. Step 6: Final answer
    x = 421,984.09

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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.