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Finding the Fourth Proportional to 459,692.60, 689,927.70 and 207,361.40

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Solution

The fourth proportional to 459,692.60, 689,927.70 and 207,361.40 is: 311,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,692.60 : 689,927.70 = 207,361.40 : x
  2. Step 2: Convert to fraction form
    459,692.60/689,927.70 = 207,361.40/x
  3. Step 3: Cross multiply
    459,692.60x = 689,927.70 × 207,361.40
  4. Step 4: Simplify right side
    459,692.60x = 143,064,373,770.78
  5. Step 5: Solve for x
    x = 143,064,373,770.78/459,692.60
  6. Step 6: Final answer
    x = 311,217.48

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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.