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Finding the Fourth Proportional to 428,394.62, 642,598.75 and 162,083.63

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Solution

The fourth proportional to 428,394.62, 642,598.75 and 162,083.63 is: 243,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,394.62 : 642,598.75 = 162,083.63 : x
  2. Step 2: Convert to fraction form
    428,394.62/642,598.75 = 162,083.63/x
  3. Step 3: Cross multiply
    428,394.62x = 642,598.75 × 162,083.63
  4. Step 4: Simplify right side
    428,394.62x = 104,154,738,033.46
  5. Step 5: Solve for x
    x = 104,154,738,033.46/428,394.62
  6. Step 6: Final answer
    x = 243,128.03

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1.5x scale

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.