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Finding the Fourth Proportional to 428,893.76, 643,153.73 and 144,531.32

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Solution

The fourth proportional to 428,893.76, 643,153.73 and 144,531.32 is: 216,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,893.76 : 643,153.73 = 144,531.32 : x
  2. Step 2: Convert to fraction form
    428,893.76/643,153.73 = 144,531.32/x
  3. Step 3: Cross multiply
    428,893.76x = 643,153.73 × 144,531.32
  4. Step 4: Simplify right side
    428,893.76x = 92,955,853,621.40
  5. Step 5: Solve for x
    x = 92,955,853,621.40/428,893.76
  6. Step 6: Final answer
    x = 216,733.98

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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.