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Finding the Fourth Proportional to 538,066.88, 742,566 and 296,349.41

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Solution

The fourth proportional to 538,066.88, 742,566 and 296,349.41 is: 408,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,066.88 : 742,566 = 296,349.41 : x
  2. Step 2: Convert to fraction form
    538,066.88/742,566 = 296,349.41/x
  3. Step 3: Cross multiply
    538,066.88x = 742,566 × 296,349.41
  4. Step 4: Simplify right side
    538,066.88x = 220,058,995,986.06
  5. Step 5: Solve for x
    x = 220,058,995,986.06/538,066.88
  6. Step 6: Final answer
    x = 408,980.75

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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.