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Finding the Fourth Proportional to 428,090.93, 642,085.31 and 112,572.44

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Solution

The fourth proportional to 428,090.93, 642,085.31 and 112,572.44 is: 168,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,090.93 : 642,085.31 = 112,572.44 : x
  2. Step 2: Convert to fraction form
    428,090.93/642,085.31 = 112,572.44/x
  3. Step 3: Cross multiply
    428,090.93x = 642,085.31 × 112,572.44
  4. Step 4: Simplify right side
    428,090.93x = 72,281,106,261.57
  5. Step 5: Solve for x
    x = 72,281,106,261.57/428,090.93
  6. Step 6: Final answer
    x = 168,845.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.