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Finding the Fourth Proportional to 660,434.40, 989,485.20 and 410,824.80

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Solution

The fourth proportional to 660,434.40, 989,485.20 and 410,824.80 is: 615,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,434.40 : 989,485.20 = 410,824.80 : x
  2. Step 2: Convert to fraction form
    660,434.40/989,485.20 = 410,824.80/x
  3. Step 3: Cross multiply
    660,434.40x = 989,485.20 × 410,824.80
  4. Step 4: Simplify right side
    660,434.40x = 406,505,059,392.96
  5. Step 5: Solve for x
    x = 406,505,059,392.96/660,434.40
  6. Step 6: Final answer
    x = 615,511.64

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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.