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Finding the Fourth Proportional to 459,068, 688,641.69 and 126,644

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Solution

The fourth proportional to 459,068, 688,641.69 and 126,644 is: 189,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,068 : 688,641.69 = 126,644 : x
  2. Step 2: Convert to fraction form
    459,068/688,641.69 = 126,644/x
  3. Step 3: Cross multiply
    459,068x = 688,641.69 × 126,644
  4. Step 4: Simplify right side
    459,068x = 87,212,338,188.36
  5. Step 5: Solve for x
    x = 87,212,338,188.36/459,068
  6. Step 6: Final answer
    x = 189,976.95

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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.