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Finding the Fourth Proportional to 428,402.00, 642,693.21 and 162,156.62

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Solution

The fourth proportional to 428,402.00, 642,693.21 and 162,156.62 is: 243,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,402.00 : 642,693.21 = 162,156.62 : x
  2. Step 2: Convert to fraction form
    428,402.00/642,693.21 = 162,156.62/x
  3. Step 3: Cross multiply
    428,402.00x = 642,693.21 × 162,156.62
  4. Step 4: Simplify right side
    428,402.00x = 104,216,955,417.08
  5. Step 5: Solve for x
    x = 104,216,955,417.08/428,402.00
  6. Step 6: Final answer
    x = 243,269.07

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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.