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Finding the Fourth Proportional to 538,150.93, 742,644.83 and 296,427.90

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Solution

The fourth proportional to 538,150.93, 742,644.83 and 296,427.90 is: 409,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,150.93 : 742,644.83 = 296,427.90 : x
  2. Step 2: Convert to fraction form
    538,150.93/742,644.83 = 296,427.90/x
  3. Step 3: Cross multiply
    538,150.93x = 742,644.83 × 296,427.90
  4. Step 4: Simplify right side
    538,150.93x = 220,140,647,402.76
  5. Step 5: Solve for x
    x = 220,140,647,402.76/538,150.93
  6. Step 6: Final answer
    x = 409,068.60

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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.