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Finding the Fourth Proportional to 459,473.76, 689,132.88 and 126,972

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Solution

The fourth proportional to 459,473.76, 689,132.88 and 126,972 is: 190,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,473.76 : 689,132.88 = 126,972 : x
  2. Step 2: Convert to fraction form
    459,473.76/689,132.88 = 126,972/x
  3. Step 3: Cross multiply
    459,473.76x = 689,132.88 × 126,972
  4. Step 4: Simplify right side
    459,473.76x = 87,500,580,039.36
  5. Step 5: Solve for x
    x = 87,500,580,039.36/459,473.76
  6. Step 6: Final answer
    x = 190,436.51

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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.