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Finding the Fourth Proportional to 771,422.60, 1,157,308.38 and 416,429

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Solution

The fourth proportional to 771,422.60, 1,157,308.38 and 416,429 is: 624,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,422.60 : 1,157,308.38 = 416,429 : x
  2. Step 2: Convert to fraction form
    771,422.60/1,157,308.38 = 416,429/x
  3. Step 3: Cross multiply
    771,422.60x = 1,157,308.38 × 416,429
  4. Step 4: Simplify right side
    771,422.60x = 481,936,771,375.02
  5. Step 5: Solve for x
    x = 481,936,771,375.02/771,422.60
  6. Step 6: Final answer
    x = 624,737.69

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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.