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Finding the Fourth Proportional to 538,010.56, 742,460.16 and 296,297.92

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Solution

The fourth proportional to 538,010.56, 742,460.16 and 296,297.92 is: 408,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,010.56 : 742,460.16 = 296,297.92 : x
  2. Step 2: Convert to fraction form
    538,010.56/742,460.16 = 296,297.92/x
  3. Step 3: Cross multiply
    538,010.56x = 742,460.16 × 296,297.92
  4. Step 4: Simplify right side
    538,010.56x = 219,989,401,090.87
  5. Step 5: Solve for x
    x = 219,989,401,090.87/538,010.56
  6. Step 6: Final answer
    x = 408,894.21

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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.