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Finding the Fourth Proportional to 428,637.70, 642,713.55 and 162,406.90

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Solution

The fourth proportional to 428,637.70, 642,713.55 and 162,406.90 is: 243,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,637.70 : 642,713.55 = 162,406.90 : x
  2. Step 2: Convert to fraction form
    428,637.70/642,713.55 = 162,406.90/x
  3. Step 3: Cross multiply
    428,637.70x = 642,713.55 × 162,406.90
  4. Step 4: Simplify right side
    428,637.70x = 104,381,115,243.50
  5. Step 5: Solve for x
    x = 104,381,115,243.50/428,637.70
  6. Step 6: Final answer
    x = 243,518.28

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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.