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Finding the Fourth Proportional to 459,690.59, 690,181.76 and 235,212.05

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Solution

The fourth proportional to 459,690.59, 690,181.76 and 235,212.05 is: 353,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,690.59 : 690,181.76 = 235,212.05 : x
  2. Step 2: Convert to fraction form
    459,690.59/690,181.76 = 235,212.05/x
  3. Step 3: Cross multiply
    459,690.59x = 690,181.76 × 235,212.05
  4. Step 4: Simplify right side
    459,690.59x = 162,339,068,955.69
  5. Step 5: Solve for x
    x = 162,339,068,955.69/459,690.59
  6. Step 6: Final answer
    x = 353,148.56

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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.