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Finding the Fourth Proportional to 689,487.50, 951,103.96 and 413,774.84

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Solution

The fourth proportional to 689,487.50, 951,103.96 and 413,774.84 is: 570,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,487.50 : 951,103.96 = 413,774.84 : x
  2. Step 2: Convert to fraction form
    689,487.50/951,103.96 = 413,774.84/x
  3. Step 3: Cross multiply
    689,487.50x = 951,103.96 × 413,774.84
  4. Step 4: Simplify right side
    689,487.50x = 393,542,886,494.61
  5. Step 5: Solve for x
    x = 393,542,886,494.61/689,487.50
  6. Step 6: Final answer
    x = 570,775.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.