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Finding the Fourth Proportional to 459,991, 689,986.50 and 127,567

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Solution

The fourth proportional to 459,991, 689,986.50 and 127,567 is: 191,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,991 : 689,986.50 = 127,567 : x
  2. Step 2: Convert to fraction form
    459,991/689,986.50 = 127,567/x
  3. Step 3: Cross multiply
    459,991x = 689,986.50 × 127,567
  4. Step 4: Simplify right side
    459,991x = 88,019,507,845.50
  5. Step 5: Solve for x
    x = 88,019,507,845.50/459,991
  6. Step 6: Final answer
    x = 191,350.50

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1.5x scale

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.