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Finding the Fourth Proportional to 538,068.42, 742,539.35 and 296,351.87

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Solution

The fourth proportional to 538,068.42, 742,539.35 and 296,351.87 is: 408,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,068.42 : 742,539.35 = 296,351.87 : x
  2. Step 2: Convert to fraction form
    538,068.42/742,539.35 = 296,351.87/x
  3. Step 3: Cross multiply
    538,068.42x = 742,539.35 × 296,351.87
  4. Step 4: Simplify right side
    538,068.42x = 220,052,921,949.27
  5. Step 5: Solve for x
    x = 220,052,921,949.27/538,068.42
  6. Step 6: Final answer
    x = 408,968.29

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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.