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Finding the Fourth Proportional to 289,855.60, 434,567.40 and 149,714.80

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Solution

The fourth proportional to 289,855.60, 434,567.40 and 149,714.80 is: 224,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,855.60 : 434,567.40 = 149,714.80 : x
  2. Step 2: Convert to fraction form
    289,855.60/434,567.40 = 149,714.80/x
  3. Step 3: Cross multiply
    289,855.60x = 434,567.40 × 149,714.80
  4. Step 4: Simplify right side
    289,855.60x = 65,061,171,377.52
  5. Step 5: Solve for x
    x = 65,061,171,377.52/289,855.60
  6. Step 6: Final answer
    x = 224,460.63

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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.