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Finding the Fourth Proportional to 538,006.56, 742,454.64 and 296,293.92

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Solution

The fourth proportional to 538,006.56, 742,454.64 and 296,293.92 is: 408,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,006.56 : 742,454.64 = 296,293.92 : x
  2. Step 2: Convert to fraction form
    538,006.56/742,454.64 = 296,293.92/x
  3. Step 3: Cross multiply
    538,006.56x = 742,454.64 × 296,293.92
  4. Step 4: Simplify right side
    538,006.56x = 219,984,795,707.79
  5. Step 5: Solve for x
    x = 219,984,795,707.79/538,006.56
  6. Step 6: Final answer
    x = 408,888.69

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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.