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Finding the Fourth Proportional to 429,424.20, 644,136.30 and 242,800.20

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Solution

The fourth proportional to 429,424.20, 644,136.30 and 242,800.20 is: 364,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,424.20 : 644,136.30 = 242,800.20 : x
  2. Step 2: Convert to fraction form
    429,424.20/644,136.30 = 242,800.20/x
  3. Step 3: Cross multiply
    429,424.20x = 644,136.30 × 242,800.20
  4. Step 4: Simplify right side
    429,424.20x = 156,396,422,467.26
  5. Step 5: Solve for x
    x = 156,396,422,467.26/429,424.20
  6. Step 6: Final answer
    x = 364,200.30

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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.