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Finding the Fourth Proportional to 419,962.60, 629,943.90 and 242,815.60

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Solution

The fourth proportional to 419,962.60, 629,943.90 and 242,815.60 is: 364,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,962.60 : 629,943.90 = 242,815.60 : x
  2. Step 2: Convert to fraction form
    419,962.60/629,943.90 = 242,815.60/x
  3. Step 3: Cross multiply
    419,962.60x = 629,943.90 × 242,815.60
  4. Step 4: Simplify right side
    419,962.60x = 152,960,206,044.84
  5. Step 5: Solve for x
    x = 152,960,206,044.84/419,962.60
  6. Step 6: Final answer
    x = 364,223.40

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1.5x scale

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.