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Finding the Fourth Proportional to 491,311.74, 736,925.25 and 299,136.36

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Solution

The fourth proportional to 491,311.74, 736,925.25 and 299,136.36 is: 448,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,311.74 : 736,925.25 = 299,136.36 : x
  2. Step 2: Convert to fraction form
    491,311.74/736,925.25 = 299,136.36/x
  3. Step 3: Cross multiply
    491,311.74x = 736,925.25 × 299,136.36
  4. Step 4: Simplify right side
    491,311.74x = 220,441,136,877.09
  5. Step 5: Solve for x
    x = 220,441,136,877.09/491,311.74
  6. Step 6: Final answer
    x = 448,678.75

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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.