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Finding the Fourth Proportional to 670,796.64, 1,006,194.96 and 459,794.88

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Solution

The fourth proportional to 670,796.64, 1,006,194.96 and 459,794.88 is: 689,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,796.64 : 1,006,194.96 = 459,794.88 : x
  2. Step 2: Convert to fraction form
    670,796.64/1,006,194.96 = 459,794.88/x
  3. Step 3: Cross multiply
    670,796.64x = 1,006,194.96 × 459,794.88
  4. Step 4: Simplify right side
    670,796.64x = 462,643,290,889.81
  5. Step 5: Solve for x
    x = 462,643,290,889.81/670,796.64
  6. Step 6: Final answer
    x = 689,692.32

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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.