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Finding the Fourth Proportional to 428,893.30, 643,145.55 and 162,565.30

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Solution

The fourth proportional to 428,893.30, 643,145.55 and 162,565.30 is: 243,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,893.30 : 643,145.55 = 162,565.30 : x
  2. Step 2: Convert to fraction form
    428,893.30/643,145.55 = 162,565.30/x
  3. Step 3: Cross multiply
    428,893.30x = 643,145.55 × 162,565.30
  4. Step 4: Simplify right side
    428,893.30x = 104,553,149,279.42
  5. Step 5: Solve for x
    x = 104,553,149,279.42/428,893.30
  6. Step 6: Final answer
    x = 243,774.27

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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.