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Finding the Fourth Proportional to 459,649.80, 689,474.70 and 411,438.60

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Solution

The fourth proportional to 459,649.80, 689,474.70 and 411,438.60 is: 617,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,649.80 : 689,474.70 = 411,438.60 : x
  2. Step 2: Convert to fraction form
    459,649.80/689,474.70 = 411,438.60/x
  3. Step 3: Cross multiply
    459,649.80x = 689,474.70 × 411,438.60
  4. Step 4: Simplify right side
    459,649.80x = 283,676,505,303.42
  5. Step 5: Solve for x
    x = 283,676,505,303.42/459,649.80
  6. Step 6: Final answer
    x = 617,157.90

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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.