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Finding the Fourth Proportional to 428,602.63, 642,858.84 and 175,909.82

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Solution

The fourth proportional to 428,602.63, 642,858.84 and 175,909.82 is: 263,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,602.63 : 642,858.84 = 175,909.82 : x
  2. Step 2: Convert to fraction form
    428,602.63/642,858.84 = 175,909.82/x
  3. Step 3: Cross multiply
    428,602.63x = 642,858.84 × 175,909.82
  4. Step 4: Simplify right side
    428,602.63x = 113,085,182,026.24
  5. Step 5: Solve for x
    x = 113,085,182,026.24/428,602.63
  6. Step 6: Final answer
    x = 263,846.22

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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.