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Finding the Fourth Proportional to 538,359.94, 742,969.82 and 296,642.45

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Solution

The fourth proportional to 538,359.94, 742,969.82 and 296,642.45 is: 409,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,359.94 : 742,969.82 = 296,642.45 : x
  2. Step 2: Convert to fraction form
    538,359.94/742,969.82 = 296,642.45/x
  3. Step 3: Cross multiply
    538,359.94x = 742,969.82 × 296,642.45
  4. Step 4: Simplify right side
    538,359.94x = 220,396,387,680.86
  5. Step 5: Solve for x
    x = 220,396,387,680.86/538,359.94
  6. Step 6: Final answer
    x = 409,384.82

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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.