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Finding the Fourth Proportional to 538,134.03, 742,625.82 and 296,417.48

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Solution

The fourth proportional to 538,134.03, 742,625.82 and 296,417.48 is: 409,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,134.03 : 742,625.82 = 296,417.48 : x
  2. Step 2: Convert to fraction form
    538,134.03/742,625.82 = 296,417.48/x
  3. Step 3: Cross multiply
    538,134.03x = 742,625.82 × 296,417.48
  4. Step 4: Simplify right side
    538,134.03x = 220,127,270,434.20
  5. Step 5: Solve for x
    x = 220,127,270,434.20/538,134.03
  6. Step 6: Final answer
    x = 409,056.59

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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.