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Finding the Fourth Proportional to 289,421.52, 433,782.36 and 149,103.60

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Solution

The fourth proportional to 289,421.52, 433,782.36 and 149,103.60 is: 223,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,421.52 : 433,782.36 = 149,103.60 : x
  2. Step 2: Convert to fraction form
    289,421.52/433,782.36 = 149,103.60/x
  3. Step 3: Cross multiply
    289,421.52x = 433,782.36 × 149,103.60
  4. Step 4: Simplify right side
    289,421.52x = 64,678,511,492.50
  5. Step 5: Solve for x
    x = 64,678,511,492.50/289,421.52
  6. Step 6: Final answer
    x = 223,475.13

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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.