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Finding the Fourth Proportional to 538,126.86, 742,606.92 and 296,409.90

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Solution

The fourth proportional to 538,126.86, 742,606.92 and 296,409.90 is: 409,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,126.86 : 742,606.92 = 296,409.90 : x
  2. Step 2: Convert to fraction form
    538,126.86/742,606.92 = 296,409.90/x
  3. Step 3: Cross multiply
    538,126.86x = 742,606.92 × 296,409.90
  4. Step 4: Simplify right side
    538,126.86x = 220,116,042,896.51
  5. Step 5: Solve for x
    x = 220,116,042,896.51/538,126.86
  6. Step 6: Final answer
    x = 409,041.17

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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.