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Finding the Fourth Proportional to 428,294.86, 642,193.21 and 162,075.90

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Solution

The fourth proportional to 428,294.86, 642,193.21 and 162,075.90 is: 243,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,294.86 : 642,193.21 = 162,075.90 : x
  2. Step 2: Convert to fraction form
    428,294.86/642,193.21 = 162,075.90/x
  3. Step 3: Cross multiply
    428,294.86x = 642,193.21 × 162,075.90
  4. Step 4: Simplify right side
    428,294.86x = 104,084,042,484.64
  5. Step 5: Solve for x
    x = 104,084,042,484.64/428,294.86
  6. Step 6: Final answer
    x = 243,019.59

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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.