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Finding the Fourth Proportional to 420,289,915.80, 629,301,132.90 and 420,289,915.80

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Solution

The fourth proportional to 420,289,915.80, 629,301,132.90 and 420,289,915.80 is: 629,301,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,289,915.80 : 629,301,132.90 = 420,289,915.80 : x
  2. Step 2: Convert to fraction form
    420,289,915.80/629,301,132.90 = 420,289,915.80/x
  3. Step 3: Cross multiply
    420,289,915.80x = 629,301,132.90 × 420,289,915.80
  4. Step 4: Simplify right side
    420,289,915.80x = 264,488,920,159,385,600
  5. Step 5: Solve for x
    x = 264,488,920,159,385,600/420,289,915.80
  6. Step 6: Final answer
    x = 629,301,132.90

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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.