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Finding the Fourth Proportional to 538,365.40, 742,934.42 and 296,670.44

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Solution

The fourth proportional to 538,365.40, 742,934.42 and 296,670.44 is: 409,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,365.40 : 742,934.42 = 296,670.44 : x
  2. Step 2: Convert to fraction form
    538,365.40/742,934.42 = 296,670.44/x
  3. Step 3: Cross multiply
    538,365.40x = 742,934.42 × 296,670.44
  4. Step 4: Simplify right side
    538,365.40x = 220,406,681,272.55
  5. Step 5: Solve for x
    x = 220,406,681,272.55/538,365.40
  6. Step 6: Final answer
    x = 409,399.79

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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.