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Finding the Fourth Proportional to 653,489.56, 901,709.82 and 408,445.42

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Solution

The fourth proportional to 653,489.56, 901,709.82 and 408,445.42 is: 563,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,489.56 : 901,709.82 = 408,445.42 : x
  2. Step 2: Convert to fraction form
    653,489.56/901,709.82 = 408,445.42/x
  3. Step 3: Cross multiply
    653,489.56x = 901,709.82 × 408,445.42
  4. Step 4: Simplify right side
    653,489.56x = 368,299,246,148.02
  5. Step 5: Solve for x
    x = 368,299,246,148.02/653,489.56
  6. Step 6: Final answer
    x = 563,588.57

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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.