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Finding the Fourth Proportional to 491,312.24, 736,926 and 299,136.86

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Solution

The fourth proportional to 491,312.24, 736,926 and 299,136.86 is: 448,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,312.24 : 736,926 = 299,136.86 : x
  2. Step 2: Convert to fraction form
    491,312.24/736,926 = 299,136.86/x
  3. Step 3: Cross multiply
    491,312.24x = 736,926 × 299,136.86
  4. Step 4: Simplify right side
    491,312.24x = 220,441,729,692.36
  5. Step 5: Solve for x
    x = 220,441,729,692.36/491,312.24
  6. Step 6: Final answer
    x = 448,679.50

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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.